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01 Introduction to the course/001 Introduction to the course.en.srt 15.64 KB
01 Introduction to the course/001 Introduction to the course.mp4 157.04 MB
01 Introduction to the course/001 List_of_all_Videos_and_Problems_Linear_Algebra_and_Geometry_2.pdf 366.01 KB
01 Introduction to the course/001 Slides Introduction to the course.pdf 34.87 MB
02 Real vector spaces and their subspaces/001 From abstract to concrete.en.srt 3.96 KB
02 Real vector spaces and their subspaces/001 From abstract to concrete.mp4 33.99 MB
02 Real vector spaces and their subspaces/002 From concrete to abstract.en.srt 3.86 KB
02 Real vector spaces and their subspaces/002 From concrete to abstract.mp4 28.67 MB
02 Real vector spaces and their subspaces/002 Slides From abstract to concrete.pdf 653.65 KB
02 Real vector spaces and their subspaces/003 Our prototype.en.srt 12.87 KB
02 Real vector spaces and their subspaces/003 Our prototype.mp4 60.43 MB
02 Real vector spaces and their subspaces/003 Slides From concrete to abstract.pdf 798.09 KB
02 Real vector spaces and their subspaces/004 Formal definition of vector spaces Example 1_ Rn.en.srt 18.73 KB
02 Real vector spaces and their subspaces/004 Formal definition of vector spaces Example 1_ Rn.mp4 198.99 MB
02 Real vector spaces and their subspaces/004 Slides Our prototype.pdf 801.28 KB
02 Real vector spaces and their subspaces/005 Notes Formal definition of vector spaces Example 1.pdf 503.93 KB
02 Real vector spaces and their subspaces/005 Slides Formal definition of vector spaces Example 1.pdf 335.7 KB
02 Real vector spaces and their subspaces/005 Vector spaces, Example 2_ m × n matrices with real entries.en.srt 17.87 KB
02 Real vector spaces and their subspaces/005 Vector spaces, Example 2_ m × n matrices with real entries.mp4 91.24 MB
02 Real vector spaces and their subspaces/006 Slides Vector spaces Example 2 Matrices.pdf 1.23 MB
02 Real vector spaces and their subspaces/006 Vector spaces, Example 3_ real-valued functions on some interval.en.srt 16.81 KB
02 Real vector spaces and their subspaces/006 Vector spaces, Example 3_ real-valued functions on some interval.mp4 190.45 MB
02 Real vector spaces and their subspaces/007 Notes Vector spaces Example 3 Functions.pdf 1.19 MB
02 Real vector spaces and their subspaces/007 Slides Vector spaces Example 3 Functions.pdf 1.5 MB
02 Real vector spaces and their subspaces/007 Vector spaces, Example 4_ complex numbers.en.srt 13.56 KB
02 Real vector spaces and their subspaces/007 Vector spaces, Example 4_ complex numbers.mp4 209.96 MB
02 Real vector spaces and their subspaces/008 Cancellation property.en.srt 6.31 KB
02 Real vector spaces and their subspaces/008 Cancellation property.mp4 93.3 MB
02 Real vector spaces and their subspaces/008 Notes Vector spaces Example 4 Complex numbers.pdf 1.51 MB
02 Real vector spaces and their subspaces/008 Slides Vector spaces Example 4 Complex numbers.pdf 191.55 KB
02 Real vector spaces and their subspaces/009 Notes Cancellation property.pdf 537.99 KB
02 Real vector spaces and their subspaces/009 Slides Cancellation property.pdf 908.13 KB
02 Real vector spaces and their subspaces/009 Two properties of vector spaces; Definition of difference.en.srt 12.25 KB
02 Real vector spaces and their subspaces/009 Two properties of vector spaces; Definition of difference.mp4 226.8 MB
02 Real vector spaces and their subspaces/010 Notes Two properties of vector spaces Definition of difference.pdf 1.44 MB
02 Real vector spaces and their subspaces/010 Slides Two properties of vector spaces Definition of difference.pdf 829.05 KB
02 Real vector spaces and their subspaces/010 Some properties of vector spaces.en.srt 15.13 KB
02 Real vector spaces and their subspaces/010 Some properties of vector spaces.mp4 231.45 MB
02 Real vector spaces and their subspaces/011 Notes Some properties of vector spaces.pdf 1.28 MB
02 Real vector spaces and their subspaces/011 Slides Some properties of vector spaces.pdf 591.21 KB
02 Real vector spaces and their subspaces/011 What is a subspace.en.srt 19.55 KB
02 Real vector spaces and their subspaces/011 What is a subspace.mp4 215.76 MB
02 Real vector spaces and their subspaces/012 All the subspaces in R2.en.srt 19.37 KB
02 Real vector spaces and their subspaces/012 All the subspaces in R2.mp4 75.4 MB
02 Real vector spaces and their subspaces/012 Notes What is a subspace.pdf 1.24 MB
02 Real vector spaces and their subspaces/012 Slides What is a subspace.pdf 287.93 KB
02 Real vector spaces and their subspaces/013 All the subspaces in R3.en.srt 10.94 KB
02 Real vector spaces and their subspaces/013 All the subspaces in R3.mp4 41.38 MB
02 Real vector spaces and their subspaces/013 Slides All the subspace in R2.pdf 1.3 MB
02 Real vector spaces and their subspaces/014 Slides All the subspace in R3.pdf 472.59 KB
02 Real vector spaces and their subspaces/014 Subspaces, Problem 1.en.srt 9.85 KB
02 Real vector spaces and their subspaces/014 Subspaces, Problem 1.mp4 48.57 MB
02 Real vector spaces and their subspaces/015 Slides Subspace Problem 1.pdf 832.4 KB
02 Real vector spaces and their subspaces/015 Subspaces, Problem 2.en.srt 25.51 KB
02 Real vector spaces and their subspaces/015 Subspaces, Problem 2.mp4 388.24 MB
02 Real vector spaces and their subspaces/016 Notes Subspace Problem 2.pdf 2.67 MB
02 Real vector spaces and their subspaces/016 Slides Subspace Problem 2.pdf 420.38 KB
02 Real vector spaces and their subspaces/016 Subspaces, Problem 3.en.srt 20.99 KB
02 Real vector spaces and their subspaces/016 Subspaces, Problem 3.mp4 362.95 MB
02 Real vector spaces and their subspaces/017 Notes Subspace Problem 3.pdf 2.33 MB
02 Real vector spaces and their subspaces/017 Slides Subspace Problem 3.pdf 305.6 KB
02 Real vector spaces and their subspaces/017 Subspaces, Problem 4.en.srt 10.6 KB
02 Real vector spaces and their subspaces/017 Subspaces, Problem 4.mp4 145.71 MB
02 Real vector spaces and their subspaces/018 Notes Subspace Problem 4.pdf 844.44 KB
02 Real vector spaces and their subspaces/018 Slides Subspace Problem 4.pdf 776.63 KB
03 Linear combinations and linear independence/001 Our unifying example.en.srt 7.26 KB
03 Linear combinations and linear independence/001 Our unifying example.mp4 65.11 MB
03 Linear combinations and linear independence/002 Linear combinations in Part 1.en.srt 11.43 KB
03 Linear combinations and linear independence/002 Linear combinations in Part 1.mp4 71.18 MB
03 Linear combinations and linear independence/003 Linear combinations, new stuff. Example 1.en.srt 6.75 KB
03 Linear combinations and linear independence/003 Linear combinations, new stuff. Example 1.mp4 36.64 MB
03 Linear combinations and linear independence/004 Linear combinations Example 2.en.srt 5.67 KB
03 Linear combinations and linear independence/004 Linear combinations Example 2.mp4 27.26 MB
03 Linear combinations and linear independence/005 Linear combinations, Problem 1.en.srt 15.2 KB
03 Linear combinations and linear independence/005 Linear combinations, Problem 1.mp4 270.28 MB
03 Linear combinations and linear independence/006 Linear combinations, Problem 2.en.srt 26.86 KB
03 Linear combinations and linear independence/006 Linear combinations, Problem 2.mp4 559.07 MB
03 Linear combinations and linear independence/007 What is a span, definition and some examples.en.srt 9.14 KB
03 Linear combinations and linear independence/007 What is a span, definition and some examples.mp4 50.06 MB
03 Linear combinations and linear independence/008 Span, Problem 3.en.srt 15.59 KB
03 Linear combinations and linear independence/008 Span, Problem 3.mp4 304.38 MB
03 Linear combinations and linear independence/009 Span, Problem 4.en.srt 15.89 KB
03 Linear combinations and linear independence/009 Span, Problem 4.mp4 301.23 MB
03 Linear combinations and linear independence/010 Span, Problem 5.en.srt 2.43 KB
03 Linear combinations and linear independence/010 Span, Problem 5.mp4 33.12 MB
03 Linear combinations and linear independence/011 What do we mean by trivial_.en.srt 6.85 KB
03 Linear combinations and linear independence/011 What do we mean by trivial_.mp4 55.93 MB
03 Linear combinations and linear independence/012 Linear independence and linear dependence.en.srt 14.91 KB
03 Linear combinations and linear independence/012 Linear independence and linear dependence.mp4 75.49 MB
03 Linear combinations and linear independence/013 Geometry of linear independence and linear dependence.en.srt 16.4 KB
03 Linear combinations and linear independence/013 Geometry of linear independence and linear dependence.mp4 65.53 MB
03 Linear combinations and linear independence/014 An important remark on linear independence in Rn.en.srt 10.33 KB
03 Linear combinations and linear independence/014 An important remark on linear independence in Rn.mp4 70.86 MB
03 Linear combinations and linear independence/015 Linearly independent generators, Problem 6.en.srt 23.29 KB
03 Linear combinations and linear independence/015 Linearly independent generators, Problem 6.mp4 444.55 MB
03 Linear combinations and linear independence/016 Linear independence in the set of matrices, Problem 7.en.srt 15.95 KB
03 Linear combinations and linear independence/016 Linear independence in the set of matrices, Problem 7.mp4 295.95 MB
03 Linear combinations and linear independence/017 Linear independence in C^0[−∞, ∞], Problem 8.en.srt 10.32 KB
03 Linear combinations and linear independence/017 Linear independence in C^0[−∞, ∞], Problem 8.mp4 178.26 MB
03 Linear combinations and linear independence/018 Vandermonde determinant and polynomials.en.srt 19.91 KB
03 Linear combinations and linear independence/018 Vandermonde determinant and polynomials.mp4 92.43 MB
03 Linear combinations and linear independence/019 Linear independence in C^∞(R), Problem 9.en.srt 19.18 KB
03 Linear combinations and linear independence/019 Linear independence in C^∞(R), Problem 9.mp4 348.04 MB
03 Linear combinations and linear independence/019 Slides Our unifying example.pdf 6.21 MB
03 Linear combinations and linear independence/020 Slides Linear combinations In Part 1.pdf 4.45 MB
03 Linear combinations and linear independence/020 Wronskian and linear independence in C∞(R).en.srt 10.31 KB
03 Linear combinations and linear independence/020 Wronskian and linear independence in C∞(R).mp4 50.59 MB
03 Linear combinations and linear independence/021 Linear independence in C^∞(R), Problem 10.en.srt 5.91 KB
03 Linear combinations and linear independence/021 Linear independence in C^∞(R), Problem 10.mp4 106.33 MB
03 Linear combinations and linear independence/021 Slides Linear combinations New stuff Example 1.pdf 652.14 KB
03 Linear combinations and linear independence/022 Linear independence in C^∞(R), Problem 11.en.srt 9.09 KB
03 Linear combinations and linear independence/022 Linear independence in C^∞(R), Problem 11.mp4 168.96 MB
03 Linear combinations and linear independence/022 Slides Linear combinations Example 2.pdf 166.8 KB
03 Linear combinations and linear independence/023 Notes Linear combinations Problem 1.pdf 1.12 MB
03 Linear combinations and linear independence/023 Slides Linear combinations Problem 1.pdf 343.87 KB
03 Linear combinations and linear independence/024 Notes Linear combinations Problem 2.pdf 2.33 MB
03 Linear combinations and linear independence/024 Slides Linear combinations Problem 2.pdf 179.52 KB
03 Linear combinations and linear independence/025 Slides What is span Definition and some examples.pdf 1.23 MB
03 Linear combinations and linear independence/026 Notes Span Problem 3.pdf 1.22 MB
03 Linear combinations and linear independence/026 Slides Span Problem 3.pdf 215.91 KB
03 Linear combinations and linear independence/027 Notes Span Problem 4.pdf 1.39 MB
03 Linear combinations and linear independence/027 Slides Span Problem 4.pdf 197.19 KB
03 Linear combinations and linear independence/028 Slides Span Problem 5.pdf 207.04 KB
03 Linear combinations and linear independence/029 Slides What do we mean by trivial.pdf 142.24 KB
03 Linear combinations and linear independence/030 Slides Linear independence and linear dependence.pdf 1.68 MB
03 Linear combinations and linear independence/031 Slides Geometry of linear independence and linear dependence.pdf 3.98 MB
03 Linear combinations and linear independence/032 Slides An important remark on linear independence in Rn.pdf 934.11 KB
03 Linear combinations and linear independence/033 Notes Linearly independent generators Problem 6.pdf 1.35 MB
03 Linear combinations and linear independence/033 Slides Linearly independent generators Problem 6.pdf 558.07 KB
03 Linear combinations and linear independence/034 Notes Linear independence in the set of matrices Problem 7.pdf 1.21 MB
03 Linear combinations and linear independence/034 Slides Linear independence in the set of matrices Problem 7.pdf 245.5 KB
03 Linear combinations and linear independence/035 Notes Linear independence in the space of functions Problem 8.pdf 936.04 KB
03 Linear combinations and linear independence/035 Slides Linear independence in the space of functions Problem 8.pdf 160.88 KB
03 Linear combinations and linear independence/036 Slides Vandermonde determinant and polynomials.pdf 1.54 MB
03 Linear combinations and linear independence/037 Notes Linear independence for smooth functions Problem 9.pdf 895.13 KB
03 Linear combinations and linear independence/037 Slides Linear independence for smooth functions Problem 9.pdf 261.17 KB
03 Linear combinations and linear independence/038 Slides Wronskian and linear independence for smooth functions.pdf 931.04 KB
03 Linear combinations and linear independence/039 Notes Linear independence for smooth functions Problem 10.pdf 581.92 KB
03 Linear combinations and linear independence/039 Slides Linear independence for smooth functions Problem 10.pdf 593 KB
03 Linear combinations and linear independence/040 Notes Linear independence for smooth functions Problem 11.pdf 809.44 KB
03 Linear combinations and linear independence/040 Slides Linear independence for smooth functions Problem 11.pdf 771.09 KB
04 Coordinates, basis, and dimension/001 What is a basis and dimension_.en.srt 8.91 KB
04 Coordinates, basis, and dimension/001 What is a basis and dimension_.mp4 52.38 MB
04 Coordinates, basis, and dimension/002 Bases in the 3-space, Problem 1.en.srt 41.45 KB
04 Coordinates, basis, and dimension/002 Bases in the 3-space, Problem 1.mp4 763.65 MB
04 Coordinates, basis, and dimension/003 Bases in the plane and in the 3-space.en.srt 14.71 KB
04 Coordinates, basis, and dimension/003 Bases in the plane and in the 3-space.mp4 88.82 MB
04 Coordinates, basis, and dimension/004 Bases in the 3-space, Problem 2.en.srt 5.24 KB
04 Coordinates, basis, and dimension/004 Bases in the 3-space, Problem 2.mp4 107.19 MB
04 Coordinates, basis, and dimension/005 Bases in the 4-space, Problem 3.en.srt 17.41 KB
04 Coordinates, basis, and dimension/005 Bases in the 4-space, Problem 3.mp4 352.79 MB
04 Coordinates, basis, and dimension/006 Bases in the 4-space, Problem 4.en.srt 27.34 KB
04 Coordinates, basis, and dimension/006 Bases in the 4-space, Problem 4.mp4 548.7 MB
04 Coordinates, basis, and dimension/007 Bases in the space of polynomials, Problem 5.en.srt 4.61 KB
04 Coordinates, basis, and dimension/007 Bases in the space of polynomials, Problem 5.mp4 88.87 MB
04 Coordinates, basis, and dimension/008 Coordinates with respect to a basis.en.srt 13.07 KB
04 Coordinates, basis, and dimension/008 Coordinates with respect to a basis.mp4 74.16 MB
04 Coordinates, basis, and dimension/009 Coordinates with respect to a basis are unique.en.srt 8.2 KB
04 Coordinates, basis, and dimension/009 Coordinates with respect to a basis are unique.mp4 122.6 MB
04 Coordinates, basis, and dimension/010 Coordinates in our unifying example.en.srt 5 KB
04 Coordinates, basis, and dimension/010 Coordinates in our unifying example.mp4 33.93 MB
04 Coordinates, basis, and dimension/011 Dimension of a subspace, Problem 6.en.srt 10.61 KB
04 Coordinates, basis, and dimension/011 Dimension of a subspace, Problem 6.mp4 213.34 MB
04 Coordinates, basis, and dimension/012 Bases in a space of functions, Problem 7.en.srt 10.77 KB
04 Coordinates, basis, and dimension/012 Bases in a space of functions, Problem 7.mp4 196.07 MB
04 Coordinates, basis, and dimension/041 Slides What is a basis and dimension.pdf 836.53 KB
04 Coordinates, basis, and dimension/042 Notes Bases in the 3 space Problem 1.pdf 3.25 MB
04 Coordinates, basis, and dimension/042 Slides Bases in the 3 space Problem 1.pdf 270.14 KB
04 Coordinates, basis, and dimension/043 Slides Bases in the plane and in the 3 space.pdf 9.23 MB
04 Coordinates, basis, and dimension/044 Notes Bases in the 3 space Problem 2.pdf 665.86 KB
04 Coordinates, basis, and dimension/044 Slides Bases in the 3 space Problem 2.pdf 465.26 KB
04 Coordinates, basis, and dimension/045 Notes Bases in the 4 space Problem 3.pdf 1.88 MB
04 Coordinates, basis, and dimension/045 Slides Bases in the 4 space Problem 3.pdf 564.96 KB
04 Coordinates, basis, and dimension/046 Notes Bases in the 4 space Problem 4.pdf 2.21 MB
04 Coordinates, basis, and dimension/046 Slides Bases in the 4 space Problem 4.pdf 183.02 KB
04 Coordinates, basis, and dimension/047 Notes Bases in the space of polynomials Problem 5.pdf 531.51 KB
04 Coordinates, basis, and dimension/047 Slides Bases in the space of polynomials Problem 5.pdf 386.96 KB
04 Coordinates, basis, and dimension/048 Slides Coordinates with respect to a basis.pdf 944.71 KB
04 Coordinates, basis, and dimension/049 Notes Coordinates with respect to a basis are unique.pdf 777.54 KB
04 Coordinates, basis, and dimension/049 Slides Coordinates with respect to a basis are unique.pdf 569.14 KB
04 Coordinates, basis, and dimension/050 Slides Coordinates in our unifying example.pdf 1.07 MB
04 Coordinates, basis, and dimension/051 Notes Dimension of a subspace Problem 6.pdf 1.22 MB
04 Coordinates, basis, and dimension/051 Slides Dimension of a subspace Problem 6.pdf 300.94 KB
04 Coordinates, basis, and dimension/052 Notes Bases in a space of functions Problem 7.pdf 779.44 KB
04 Coordinates, basis, and dimension/052 Slides Bases in a space of functions Problem 7.pdf 228.9 KB
05 Change of basis/001 Coordinates in different bases.en.srt 6.98 KB
05 Change of basis/001 Coordinates in different bases.mp4 46.7 MB
05 Change of basis/002 It is easy to recalculate from the standard basis.en.srt 7.5 KB
05 Change of basis/002 It is easy to recalculate from the standard basis.mp4 69.18 MB
05 Change of basis/003 Transition matrix, a derivation.en.srt 14.33 KB
05 Change of basis/003 Transition matrix, a derivation.mp4 73.38 MB
05 Change of basis/004 Previous example with transition matrix.en.srt 5.43 KB
05 Change of basis/004 Previous example with transition matrix.mp4 31.58 MB
05 Change of basis/005 Our unifying example.en.srt 10.45 KB
05 Change of basis/005 Our unifying example.mp4 66.59 MB
05 Change of basis/006 One more simple example and bases.en.srt 5.71 KB
05 Change of basis/006 One more simple example and bases.mp4 24.08 MB
05 Change of basis/007 Two non-standard bases, Method 1.en.srt 8.62 KB
05 Change of basis/007 Two non-standard bases, Method 1.mp4 49.7 MB
05 Change of basis/008 Two non-standard bases, Method 2.en.srt 14.52 KB
05 Change of basis/008 Two non-standard bases, Method 2.mp4 84.29 MB
05 Change of basis/009 How to recalculate coordinates between two non-standard bases_ An algorithm.en.srt 14.38 KB
05 Change of basis/009 How to recalculate coordinates between two non-standard bases_ An algorithm.mp4 98.4 MB
05 Change of basis/010 Change of basis, Problem 1.en.srt 39.47 KB
05 Change of basis/010 Change of basis, Problem 1.mp4 645.05 MB
05 Change of basis/011 Change of basis, Problem 2.en.srt 13.85 KB
05 Change of basis/011 Change of basis, Problem 2.mp4 273.03 MB
05 Change of basis/012 Change of basis, Problem 3.en.srt 23.87 KB
05 Change of basis/012 Change of basis, Problem 3.mp4 455.22 MB
05 Change of basis/013 Change of basis, Problem 4.en.srt 8.58 KB
05 Change of basis/013 Change of basis, Problem 4.mp4 167.72 MB
05 Change of basis/014 Change of basis, Problem 5.en.srt 11.34 KB
05 Change of basis/014 Change of basis, Problem 5.mp4 239.52 MB
05 Change of basis/015 Change to an orthonormal basis in R^2.en.srt 15.69 KB
05 Change of basis/015 Change to an orthonormal basis in R^2.mp4 66.6 MB
05 Change of basis/053 Slides Coordinates in different bases.pdf 456.24 KB
05 Change of basis/054 Slides It is easy to recalculate from the standard basis.pdf 1.15 MB
05 Change of basis/055 Slides Transition matrix A derivation.pdf 1.12 MB
05 Change of basis/056 Slides Previous example with transition matrix.pdf 803.55 KB
05 Change of basis/057 Slides Our unifying example and bases.pdf 958.03 KB
05 Change of basis/058 Slides One more simple example.pdf 2.06 MB
05 Change of basis/059 Slides Two non standard bases Method 1.pdf 1.03 MB
05 Change of basis/060 Slides Two non standard bases Method 2.pdf 5.72 MB
05 Change of basis/061 Slides How to recalculate coordinates between two non-standard bases An algorithm.pdf 6.31 MB
05 Change of basis/062 Notes Change of basis Problem 1.pdf 2.49 MB
05 Change of basis/062 Slides Change of basis Problem 1.pdf 293.37 KB
05 Change of basis/063 Notes Change of basis Problem 2.pdf 1.39 MB
05 Change of basis/063 Slides Change of basis Problem 2.pdf 169.9 KB
05 Change of basis/064 Notes Change of basis Problem 3.pdf 1.95 MB
05 Change of basis/064 Slides Change of basis Problem 3.pdf 201.32 KB
05 Change of basis/065 Notes Change of basis Problem 4.pdf 700.53 KB
05 Change of basis/065 Slides Change of basis Problem 4.pdf 475.9 KB
05 Change of basis/066 Notes Change of basis Problem 5.pdf 1.17 MB
05 Change of basis/066 Slides Change of basis Problem 5.pdf 213.6 KB
05 Change of basis/067 Slides Change to an orthonormal basis in the plane.pdf 3.96 MB
06 Row space, column space, and nullspace of a matrix/001 What you are going to learn in this section.en.srt 6.32 KB
06 Row space, column space, and nullspace of a matrix/001 What you are going to learn in this section.mp4 77.4 MB
06 Row space, column space, and nullspace of a matrix/002 Row space and column space for a matrix.en.srt 11.09 KB
06 Row space, column space, and nullspace of a matrix/002 Row space and column space for a matrix.mp4 54.28 MB
06 Row space, column space, and nullspace of a matrix/003 What are the elementary row operations doing to the row spaces_.en.srt 20.45 KB
06 Row space, column space, and nullspace of a matrix/003 What are the elementary row operations doing to the row spaces_.mp4 263.11 MB
06 Row space, column space, and nullspace of a matrix/004 What are the elementary row operations doing to the column spaces_.en.srt 13.57 KB
06 Row space, column space, and nullspace of a matrix/004 What are the elementary row operations doing to the column spaces_.mp4 61.34 MB
06 Row space, column space, and nullspace of a matrix/005 Column space, Problem 2.en.srt 12.8 KB
06 Row space, column space, and nullspace of a matrix/005 Column space, Problem 2.mp4 200.45 MB
06 Row space, column space, and nullspace of a matrix/006 Determining a basis for a span, Problem 3.en.srt 14.39 KB
06 Row space, column space, and nullspace of a matrix/006 Determining a basis for a span, Problem 3.mp4 250.7 MB
06 Row space, column space, and nullspace of a matrix/007 Determining a basis for a span consisting of a subset of given vectors, Prob.en.srt 17.05 KB
06 Row space, column space, and nullspace of a matrix/007 Determining a basis for a span consisting of a subset of given vectors, Prob.mp4 279.97 MB
06 Row space, column space, and nullspace of a matrix/008 Determining a basis for a span consisting of a subset of given vectors, Prob.en.srt 18.65 KB
06 Row space, column space, and nullspace of a matrix/008 Determining a basis for a span consisting of a subset of given vectors, Prob.mp4 299.27 MB
06 Row space, column space, and nullspace of a matrix/009 A tricky one_ Let rows become columns, Problem 6.en.srt 11.71 KB
06 Row space, column space, and nullspace of a matrix/009 A tricky one_ Let rows become columns, Problem 6.mp4 212.82 MB
06 Row space, column space, and nullspace of a matrix/010 A basis in the space of polynomials, Problem 7.en.srt 18 KB
06 Row space, column space, and nullspace of a matrix/010 A basis in the space of polynomials, Problem 7.mp4 328.79 MB
06 Row space, column space, and nullspace of a matrix/011 Nullspace for a matrix.en.srt 13.21 KB
06 Row space, column space, and nullspace of a matrix/011 Nullspace for a matrix.mp4 167.03 MB
06 Row space, column space, and nullspace of a matrix/012 How to find the nullspace, Problem 8.en.srt 8.82 KB
06 Row space, column space, and nullspace of a matrix/012 How to find the nullspace, Problem 8.mp4 57.16 MB
06 Row space, column space, and nullspace of a matrix/013 Nullspace, Problem 9.en.srt 17.82 KB
06 Row space, column space, and nullspace of a matrix/013 Nullspace, Problem 9.mp4 355.08 MB
06 Row space, column space, and nullspace of a matrix/014 Nullspace, Problem 10.en.srt 24.46 KB
06 Row space, column space, and nullspace of a matrix/014 Nullspace, Problem 10.mp4 362.32 MB
06 Row space, column space, and nullspace of a matrix/068 Slides What you are going to learn in this section.pdf 177.3 KB
06 Row space, column space, and nullspace of a matrix/069 Slides Row space and column space for a matrix.pdf 597.81 KB
06 Row space, column space, and nullspace of a matrix/070 Notes What are the elementary row operations doing to the row spaces.pdf 1.23 MB
06 Row space, column space, and nullspace of a matrix/070 Slides What are the elementary row operations doing to the row spaces.pdf 1.16 MB
06 Row space, column space, and nullspace of a matrix/071 Slides What are the elementary row operations doing to the column spaces.pdf 1.88 MB
06 Row space, column space, and nullspace of a matrix/072 Notes Column space Problem 2.pdf 2.32 MB
06 Row space, column space, and nullspace of a matrix/072 Slides Column space Problem 2.pdf 475.6 KB
06 Row space, column space, and nullspace of a matrix/073 Notes Determining a basis for a span Problem 3.pdf 726.87 KB
06 Row space, column space, and nullspace of a matrix/073 Slides Determining a basis for a span Problem 3.pdf 700.81 KB
06 Row space, column space, and nullspace of a matrix/074 Notes Determining a basis for a span consisting of a subset of given vectors Problem 4.pdf 1.09 MB
06 Row space, column space, and nullspace of a matrix/074 Slides Determining a basis for a span consisting of a subset of given vectors Problem 4.pdf 295.37 KB
06 Row space, column space, and nullspace of a matrix/075 Notes Determining a basis for a span consisting of a subset of given vectors Problem 5.pdf 963.62 KB
06 Row space, column space, and nullspace of a matrix/075 Slides Determining a basis for a span consisting of a subset of given vectors Problem 5.pdf 296.85 KB
06 Row space, column space, and nullspace of a matrix/076 Notes A tricky one Let rows become columns Problem 6.pdf 628.1 KB
06 Row space, column space, and nullspace of a matrix/076 Slides A tricky one Let rows become columns Problem 6.pdf 492.88 KB
06 Row space, column space, and nullspace of a matrix/077 Notes A basis in the space of polynomials Problem 7.pdf 1.24 MB
06 Row space, column space, and nullspace of a matrix/077 Slides A basis in the space of polynomials Problem 7.pdf 297.18 KB
06 Row space, column space, and nullspace of a matrix/078 Notes Nullspace for a matrix.pdf 636.31 KB
06 Row space, column space, and nullspace of a matrix/078 Slides Nullspace for a matrix.pdf 915.71 KB
06 Row space, column space, and nullspace of a matrix/079 Slides How to find the nullspace Problem 8.pdf 1.01 MB
06 Row space, column space, and nullspace of a matrix/080 Notes Nullspace Problem 9.pdf 1.04 MB
06 Row space, column space, and nullspace of a matrix/080 Slides Nullspace Problem 9.pdf 524.45 KB
06 Row space, column space, and nullspace of a matrix/081 Notes Nullspace Problem 10.pdf 1.02 MB
06 Row space, column space, and nullspace of a matrix/081 Slides Nullspace Problem 10.pdf 753.43 KB
07 Rank, nullity, and four fundamental matrix spaces/001 Rank of a matrix.en.srt 5.91 KB
07 Rank, nullity, and four fundamental matrix spaces/001 Rank of a matrix.mp4 36.3 MB
07 Rank, nullity, and four fundamental matrix spaces/002 Nullity.en.srt 2.66 KB
07 Rank, nullity, and four fundamental matrix spaces/002 Nullity.mp4 23.99 MB
07 Rank, nullity, and four fundamental matrix spaces/003 Relationship between rank and nullity.en.srt 17.79 KB
07 Rank, nullity, and four fundamental matrix spaces/003 Relationship between rank and nullity.mp4 116.36 MB
07 Rank, nullity, and four fundamental matrix spaces/004 Relationship between rank and nullity, Problem 1.en.srt 10.01 KB
07 Rank, nullity, and four fundamental matrix spaces/004 Relationship between rank and nullity, Problem 1.mp4 174.42 MB
07 Rank, nullity, and four fundamental matrix spaces/005 Relationship between rank and nullity, Problem 2.en.srt 8.96 KB
07 Rank, nullity, and four fundamental matrix spaces/005 Relationship between rank and nullity, Problem 2.mp4 59.69 MB
07 Rank, nullity, and four fundamental matrix spaces/006 Relationship between rank and nullity, Problem 3.en.srt 3.38 KB
07 Rank, nullity, and four fundamental matrix spaces/006 Relationship between rank and nullity, Problem 3.mp4 15.01 MB
07 Rank, nullity, and four fundamental matrix spaces/007 Orthogonal complements, Problem 4.en.srt 15.16 KB
07 Rank, nullity, and four fundamental matrix spaces/007 Orthogonal complements, Problem 4.mp4 97.18 MB
07 Rank, nullity, and four fundamental matrix spaces/008 Four fundamental matrix spaces.en.srt 6.55 KB
07 Rank, nullity, and four fundamental matrix spaces/008 Four fundamental matrix spaces.mp4 36.39 MB
07 Rank, nullity, and four fundamental matrix spaces/009 The Fundamental Theorem of Linear Algebra and Gilbert Strang.en.srt 16.37 KB
07 Rank, nullity, and four fundamental matrix spaces/009 The Fundamental Theorem of Linear Algebra and Gilbert Strang.mp4 73.52 MB
07 Rank, nullity, and four fundamental matrix spaces/082 Slides Rank of a matrix.pdf 811.44 KB
07 Rank, nullity, and four fundamental matrix spaces/083 Slides Nullity.pdf 927.94 KB
07 Rank, nullity, and four fundamental matrix spaces/084 Slides Relationship between the rank and nullity.pdf 1.4 MB
07 Rank, nullity, and four fundamental matrix spaces/085 Notes Relationship between rank and nullity, Problem 1.pdf 449.75 KB
07 Rank, nullity, and four fundamental matrix spaces/085 Slides Relationship between rank and nullity, Problem 1.pdf 235.79 KB
07 Rank, nullity, and four fundamental matrix spaces/086 Slides Relationship between rank and nullity, Problem 2.pdf 698.16 KB
07 Rank, nullity, and four fundamental matrix spaces/087 Slides Relationship between rank and nullity, Problem 3.pdf 612.93 KB
07 Rank, nullity, and four fundamental matrix spaces/088 Slides Orthogonal complements Problem 4.pdf 1.62 MB
07 Rank, nullity, and four fundamental matrix spaces/089 Slides Four fundamental matrix spaces.pdf 1.31 MB
07 Rank, nullity, and four fundamental matrix spaces/090 Slides The Fundamental Theorem of Linear Algebra and Gilbert Strang.pdf 1.44 MB
08 Matrix transformations from R^n to R^m/001 What do we mean by linear_.en.srt 7.66 KB
08 Matrix transformations from R^n to R^m/001 What do we mean by linear_.mp4 79.17 MB
08 Matrix transformations from R^n to R^m/002 Some terminology.en.srt 13.85 KB
08 Matrix transformations from R^n to R^m/002 Some terminology.mp4 65.07 MB
08 Matrix transformations from R^n to R^m/003 How to think about functions from Rn to Rm_.en.srt 13.71 KB
08 Matrix transformations from R^n to R^m/003 How to think about functions from Rn to Rm_.mp4 71.22 MB
08 Matrix transformations from R^n to R^m/004 When is a function from Rn to Rm linear_ Approach 1.en.srt 9.71 KB
08 Matrix transformations from R^n to R^m/004 When is a function from Rn to Rm linear_ Approach 1.mp4 66.36 MB
08 Matrix transformations from R^n to R^m/005 When is a function from Rn to Rm linear_ Approach 2.en.srt 21.88 KB
08 Matrix transformations from R^n to R^m/005 When is a function from Rn to Rm linear_ Approach 2.mp4 247.32 MB
08 Matrix transformations from R^n to R^m/006 When is a function from Rn to Rm linear_ Approach 3.en.srt 13.86 KB
08 Matrix transformations from R^n to R^m/006 When is a function from Rn to Rm linear_ Approach 3.mp4 73.96 MB
08 Matrix transformations from R^n to R^m/007 Approaches 2 and 3 are equivalent.en.srt 12.54 KB
08 Matrix transformations from R^n to R^m/007 Approaches 2 and 3 are equivalent.mp4 60.29 MB
08 Matrix transformations from R^n to R^m/008 Matrix transformations, Problem 1.en.srt 7.09 KB
08 Matrix transformations from R^n to R^m/008 Matrix transformations, Problem 1.mp4 98.77 MB
08 Matrix transformations from R^n to R^m/009 Image, kernel, and inverse operators, Problem 2.en.srt 30.06 KB
08 Matrix transformations from R^n to R^m/009 Image, kernel, and inverse operators, Problem 2.mp4 344.68 MB
08 Matrix transformations from R^n to R^m/010 Basis for the image, Problem 3.en.srt 8.03 KB
08 Matrix transformations from R^n to R^m/010 Basis for the image, Problem 3.mp4 156.13 MB
08 Matrix transformations from R^n to R^m/011 Kernel, Problem 4.en.srt 10.37 KB
08 Matrix transformations from R^n to R^m/011 Kernel, Problem 4.mp4 181.18 MB
08 Matrix transformations from R^n to R^m/012 Image and kernel, Problem 5.en.srt 11.25 KB
08 Matrix transformations from R^n to R^m/012 Image and kernel, Problem 5.mp4 203.94 MB
08 Matrix transformations from R^n to R^m/013 Inverse operators, Problem 6.en.srt 17.55 KB
08 Matrix transformations from R^n to R^m/013 Inverse operators, Problem 6.mp4 327.3 MB
08 Matrix transformations from R^n to R^m/014 Linear transformations, Problem 7.en.srt 10.31 KB
08 Matrix transformations from R^n to R^m/014 Linear transformations, Problem 7.mp4 196.21 MB
08 Matrix transformations from R^n to R^m/015 Kernel and geometry, Problem 8.en.srt 9.59 KB
08 Matrix transformations from R^n to R^m/015 Kernel and geometry, Problem 8.mp4 168.31 MB
08 Matrix transformations from R^n to R^m/016 Linear transformations, Problem 9.en.srt 11.4 KB
08 Matrix transformations from R^n to R^m/016 Linear transformations, Problem 9.mp4 193.51 MB
08 Matrix transformations from R^n to R^m/091 Slides What do we mean by linear.pdf 528.5 KB
08 Matrix transformations from R^n to R^m/092 Slides Some terminology.pdf 297.69 KB
08 Matrix transformations from R^n to R^m/093 Slides How to think about functions from Rn to Rm.pdf 365.37 KB
08 Matrix transformations from R^n to R^m/094 Slides When is a function from Rn to Rm linear Approach 1.pdf 500.96 KB
08 Matrix transformations from R^n to R^m/095 Notes When is a function from Rn to Rm linear Approach 2.pdf 967.89 KB
08 Matrix transformations from R^n to R^m/095 Slides When is a function from Rn to Rm linear Approach 2.pdf 962 KB
08 Matrix transformations from R^n to R^m/096 Slides When is a function from Rn to Rm linear Approach 3.pdf 529.33 KB
08 Matrix transformations from R^n to R^m/097 Slides Approaches 2 and 3 are equivalent.pdf 2.16 MB
08 Matrix transformations from R^n to R^m/098 Notes Matrix transformations Problem 1.pdf 635.94 KB
08 Matrix transformations from R^n to R^m/098 Slides Matrix transformations Problem 1.pdf 730.37 KB
08 Matrix transformations from R^n to R^m/099 Notes Image, kernel, and inverse operators Problem 2.pdf 1.11 MB
08 Matrix transformations from R^n to R^m/099 Slides Image, kernel, and inverse operators Problem 2.pdf 1.44 MB
08 Matrix transformations from R^n to R^m/100 Notes Basis for the image Problem 3.pdf 567.98 KB
08 Matrix transformations from R^n to R^m/100 Slides Basis for the image Problem 3.pdf 350.13 KB
08 Matrix transformations from R^n to R^m/101 Notes Kernel Problem 4.pdf 1007.8 KB
08 Matrix transformations from R^n to R^m/101 Slides Kernel Problem 4.pdf 434 KB
08 Matrix transformations from R^n to R^m/102 Notes Image and kernel Problem 5.pdf 1.09 MB
08 Matrix transformations from R^n to R^m/102 Slides Image and kernel Problem 5.pdf 434.31 KB
08 Matrix transformations from R^n to R^m/103 Notes Inverse operators Problem 6.pdf 1.43 MB
08 Matrix transformations from R^n to R^m/103 Slides Inverse operators Problem 6.pdf 433.56 KB
08 Matrix transformations from R^n to R^m/104 Notes Linear transformations Problem 7.pdf 930.93 KB
08 Matrix transformations from R^n to R^m/104 Slides Linear transformations Problem 7.pdf 581.28 KB
08 Matrix transformations from R^n to R^m/105 Notes Kernel and geometry Problem 8.pdf 962.14 KB
08 Matrix transformations from R^n to R^m/105 Slides Kernel and geometry Problem 8.pdf 177.99 KB
08 Matrix transformations from R^n to R^m/106 Notes Linear transformations Problem 9.pdf 999.72 KB
08 Matrix transformations from R^n to R^m/106 Slides Linear transformations Problem 9.pdf 579.11 KB
09 Geometry of matrix transformations on R^2 and R^3/001 Our unifying example_ linear transformations and change of basis.en.srt 15.54 KB
09 Geometry of matrix transformations on R^2 and R^3/001 Our unifying example_ linear transformations and change of basis.mp4 128.62 MB
09 Geometry of matrix transformations on R^2 and R^3/002 An example with nontrivial kernel.en.srt 10.96 KB
09 Geometry of matrix transformations on R^2 and R^3/002 An example with nontrivial kernel.mp4 179.08 MB
09 Geometry of matrix transformations on R^2 and R^3/003 Line symmetries in the plane.en.srt 17.6 KB
09 Geometry of matrix transformations on R^2 and R^3/003 Line symmetries in the plane.mp4 132.59 MB
09 Geometry of matrix transformations on R^2 and R^3/004 Projection on a given vector, Problem 1.en.srt 22.31 KB
09 Geometry of matrix transformations on R^2 and R^3/004 Projection on a given vector, Problem 1.mp4 341.18 MB
09 Geometry of matrix transformations on R^2 and R^3/005 Symmetry about the line y = kx, Problem 2.en.srt 16.51 KB
09 Geometry of matrix transformations on R^2 and R^3/005 Symmetry about the line y = kx, Problem 2.mp4 188.61 MB
09 Geometry of matrix transformations on R^2 and R^3/006 Rotation by 90 degrees about the origin.en.srt 11.27 KB
09 Geometry of matrix transformations on R^2 and R^3/006 Rotation by 90 degrees about the origin.mp4 132.27 MB
09 Geometry of matrix transformations on R^2 and R^3/007 Rotation by the angle α about the origin.en.srt 10.8 KB
09 Geometry of matrix transformations on R^2 and R^3/007 Rotation by the angle α about the origin.mp4 56.91 MB
09 Geometry of matrix transformations on R^2 and R^3/008 Expansion, compression, scaling, and shear.en.srt 12.35 KB
09 Geometry of matrix transformations on R^2 and R^3/008 Expansion, compression, scaling, and shear.mp4 77.2 MB
09 Geometry of matrix transformations on R^2 and R^3/009 Plane symmetry in the 3-space, Problem 3.en.srt 12.43 KB
09 Geometry of matrix transformations on R^2 and R^3/009 Plane symmetry in the 3-space, Problem 3.mp4 247.89 MB
09 Geometry of matrix transformations on R^2 and R^3/010 Projections on planes in the 3-space, Problem 4.en.srt 7.66 KB
09 Geometry of matrix transformations on R^2 and R^3/010 Projections on planes in the 3-space, Problem 4.mp4 157.49 MB
09 Geometry of matrix transformations on R^2 and R^3/011 Symmetry about a given plane, Problem 5.en.srt 19.01 KB
09 Geometry of matrix transformations on R^2 and R^3/011 Symmetry about a given plane, Problem 5.mp4 274.02 MB
09 Geometry of matrix transformations on R^2 and R^3/012 Projection on a given plane, Problem 6.en.srt 22.11 KB
09 Geometry of matrix transformations on R^2 and R^3/012 Projection on a given plane, Problem 6.mp4 366.48 MB
09 Geometry of matrix transformations on R^2 and R^3/013 Rotations in the 3-space, Problem 7.en.srt 23.87 KB
09 Geometry of matrix transformations on R^2 and R^3/013 Rotations in the 3-space, Problem 7.mp4 462.86 MB
09 Geometry of matrix transformations on R^2 and R^3/107 Slides Our unifying example Linear transformations and change of basis.pdf 2.68 MB
09 Geometry of matrix transformations on R^2 and R^3/108 Notes An example with nontrivial kernel.pdf 504.66 KB
09 Geometry of matrix transformations on R^2 and R^3/108 Slides An example with nontrivial kernel.pdf 259.69 KB
09 Geometry of matrix transformations on R^2 and R^3/109 Notes Line symmetries in the plane.pdf 363.88 KB
09 Geometry of matrix transformations on R^2 and R^3/109 Slides Line symmetries in the plane.pdf 3.35 MB
09 Geometry of matrix transformations on R^2 and R^3/110 Notes Projection on a given vector Problem 1.pdf 1.14 MB
09 Geometry of matrix transformations on R^2 and R^3/110 Slides Projection on a given vector Problem 1.pdf 1.56 MB
09 Geometry of matrix transformations on R^2 and R^3/111 Notes Symmetry about a line Problem 2.pdf 668.07 KB
09 Geometry of matrix transformations on R^2 and R^3/111 Slides Symmetry about a line Problem 2.pdf 1.48 MB
09 Geometry of matrix transformations on R^2 and R^3/112 Notes Rotation by 90 degrees about the origin.pdf 400.44 KB
09 Geometry of matrix transformations on R^2 and R^3/112 Slides Rotation by 90 degrees about the origin.pdf 1.68 MB
09 Geometry of matrix transformations on R^2 and R^3/113 Slides Rotation by the angle alpha about the origin.pdf 1.81 MB
09 Geometry of matrix transformations on R^2 and R^3/114 Slides Expansion Compression Scaling and Shear.pdf 2.08 MB
09 Geometry of matrix transformations on R^2 and R^3/115 Notes Plane symmetry in the 3-space Problem 3.pdf 1004.3 KB
09 Geometry of matrix transformations on R^2 and R^3/115 Slides Plane symmetry in the 3-space Problem 3.pdf 314.74 KB
09 Geometry of matrix transformations on R^2 and R^3/116 Notes Projections on planes in the 3-space Problem 4.pdf 892.49 KB
09 Geometry of matrix transformations on R^2 and R^3/116 Slides Projections on planes in the 3-space Problem 4.pdf 315.36 KB
09 Geometry of matrix transformations on R^2 and R^3/117 Notes Symmetry about a given plane Problem 5.pdf 1.1 MB
09 Geometry of matrix transformations on R^2 and R^3/117 Slides Symmetry about a given plane Problem 5.pdf 1.63 MB
09 Geometry of matrix transformations on R^2 and R^3/118 Notes Projection on a given plane Problem 6.pdf 1.8 MB
09 Geometry of matrix transformations on R^2 and R^3/118 Slides Projection on a given plane Problem 6.pdf 1.61 MB
09 Geometry of matrix transformations on R^2 and R^3/119 Notes Rotations in the 3-space Problem 7.pdf 1.58 MB
09 Geometry of matrix transformations on R^2 and R^3/119 Slides Rotations in the 3-space Problem 7.pdf 611.83 KB
10 Properties of matrix transformations/001 What kind of properties we will discuss.en.srt 5.62 KB
10 Properties of matrix transformations/001 What kind of properties we will discuss.mp4 33.64 MB
10 Properties of matrix transformations/002 What happens with vector subspaces and affine subspaces under linear transfo.en.srt 8.74 KB
10 Properties of matrix transformations/002 What happens with vector subspaces and affine subspaces under linear transfo.mp4 38.54 MB
10 Properties of matrix transformations/003 Parallel lines transform into parallel lines, Problem 1.en.srt 11.83 KB
10 Properties of matrix transformations/003 Parallel lines transform into parallel lines, Problem 1.mp4 92.64 MB
10 Properties of matrix transformations/004 Transformations of straight lines, Problem 2.en.srt 13.26 KB
10 Properties of matrix transformations/004 Transformations of straight lines, Problem 2.mp4 233.63 MB
10 Properties of matrix transformations/005 Change of area (volume) under linear operators in the plane (space).en.srt 20.36 KB
10 Properties of matrix transformations/005 Change of area (volume) under linear operators in the plane (space).mp4 129.27 MB
10 Properties of matrix transformations/006 Change of area under linear transformations, Problem 3.en.srt 13.13 KB
10 Properties of matrix transformations/006 Change of area under linear transformations, Problem 3.mp4 55.63 MB
10 Properties of matrix transformations/007 Compositions of linear transformations.en.srt 14.73 KB
10 Properties of matrix transformations/007 Compositions of linear transformations.mp4 74.1 MB
10 Properties of matrix transformations/008 How to obtain the standard matrix of a composition of linear transformations.en.srt 11.4 KB
10 Properties of matrix transformations/008 How to obtain the standard matrix of a composition of linear transformations.mp4 85.24 MB
10 Properties of matrix transformations/009 Why does it work_.en.srt 15.5 KB
10 Properties of matrix transformations/009 Why does it work_.mp4 186.84 MB
10 Properties of matrix transformations/010 Compositions of linear transformations, Problem 4.en.srt 16.25 KB
10 Properties of matrix transformations/010 Compositions of linear transformations, Problem 4.mp4 291.38 MB
10 Properties of matrix transformations/011 Compositions of linear transformations, Problem 5.en.srt 20.28 KB
10 Properties of matrix transformations/011 Compositions of linear transformations, Problem 5.mp4 441.54 MB
10 Properties of matrix transformations/120 Slides What kind of properties we will discuss.pdf 83.91 KB
10 Properties of matrix transformations/121 Slides What happens with vector subspaces and affine subspaces under linear transformations.pdf 317.15 KB
10 Properties of matrix transformations/122 Slides Parallel lines transform into parallel lines Problem 1.pdf 1.47 MB
10 Properties of matrix transformations/123 Notes Transformations of straight lines Problem 2.pdf 670.12 KB
10 Properties of matrix transformations/123 Slides Transformations of straight lines Problem 2.pdf 337.66 KB
10 Properties of matrix transformations/124 Slides Change of area and volume under linear operators in the plane and space.pdf 5.06 MB
10 Properties of matrix transformations/125 Slides Change of area under linear operators in the plane Problem 3.pdf 1.43 MB
10 Properties of matrix transformations/126 Slides Composition of linear transformations.pdf 1.02 MB
10 Properties of matrix transformations/127 Slides How to obtain the standard matrix of a composition of linear transformations.pdf 1.64 MB
10 Properties of matrix transformations/128 Notes Why does it work.pdf 1.07 MB
10 Properties of matrix transformations/128 Slides Why does it work.pdf 1.82 MB
10 Properties of matrix transformations/129 Notes Compositions of linear transformations Problem 4.pdf 1.13 MB
10 Properties of matrix transformations/129 Slides Compositions of linear transformations Problem 4.pdf 238.21 KB
10 Properties of matrix transformations/130 Article-Solved-Problems-Compositions-of-Linear-Transformations.pdf 396.67 KB
10 Properties of matrix transformations/130 Notes Compositions of linear transformations Problem 5.pdf 1.46 MB
10 Properties of matrix transformations/130 Slides Compositions of linear transformations Problem 5.pdf 425.46 KB
11 General linear transformations in different bases/001 Linear transformations between two linear spaces.en.srt 6.7 KB
11 General linear transformations in different bases/001 Linear transformations between two linear spaces.mp4 61.21 MB
11 General linear transformations in different bases/002 Linear transformations, Problem 1.en.srt 30.12 KB
11 General linear transformations in different bases/002 Linear transformations, Problem 1.mp4 534.67 MB
11 General linear transformations in different bases/003 Linear transformations, Problem 2.en.srt 26.83 KB
11 General linear transformations in different bases/003 Linear transformations, Problem 2.mp4 402.8 MB
11 General linear transformations in different bases/004 Linear transformations, Problem 3.en.srt 30.71 KB
11 General linear transformations in different bases/004 Linear transformations, Problem 3.mp4 592.98 MB
11 General linear transformations in different bases/005 Linear transformations, Problem 4.en.srt 39.07 KB
11 General linear transformations in different bases/005 Linear transformations, Problem 4.mp4 780.04 MB
11 General linear transformations in different bases/006 Linear transformations, Problem 5.en.srt 18.73 KB
11 General linear transformations in different bases/006 Linear transformations, Problem 5.mp4 343.92 MB
11 General linear transformations in different bases/007 Linear transformations in different bases, Problem 6.en.srt 18.37 KB
11 General linear transformations in different bases/007 Linear transformations in different bases, Problem 6.mp4 316.85 MB
11 General linear transformations in different bases/008 Linear transformations in different bases.en.srt 8.33 KB
11 General linear transformations in different bases/008 Linear transformations in different bases.mp4 60.87 MB
11 General linear transformations in different bases/009 Linear transformations in different bases, Problem 7.en.srt 23.95 KB
11 General linear transformations in different bases/009 Linear transformations in different bases, Problem 7.mp4 434.94 MB
11 General linear transformations in different bases/010 Linear transformations in different bases, Problem 8.en.srt 14.82 KB
11 General linear transformations in different bases/010 Linear transformations in different bases, Problem 8.mp4 294.52 MB
11 General linear transformations in different bases/011 Linear transformations in different bases, Problem 9.en.srt 13.55 KB
11 General linear transformations in different bases/011 Linear transformations in different bases, Problem 9.mp4 251.98 MB
11 General linear transformations in different bases/012 Linear transformations, Problem 10.en.srt 7.19 KB
11 General linear transformations in different bases/012 Linear transformations, Problem 10.mp4 141.26 MB
11 General linear transformations in different bases/013 Linear transformations, Problem 11.en.srt 13.52 KB
11 General linear transformations in different bases/013 Linear transformations, Problem 11.mp4 282.64 MB
11 General linear transformations in different bases/131 Slides Linear transformations between two linear spaces.pdf 1.56 MB
11 General linear transformations in different bases/132 Notes Linear transformations Problem 1.pdf 1.92 MB
11 General linear transformations in different bases/132 Slides Linear transformations Problem 1.pdf 198.21 KB
11 General linear transformations in different bases/133 Notes Linear transformations Problem 2.pdf 2.37 MB
11 General linear transformations in different bases/133 Slides Linear transformations Problem 2.pdf 255.19 KB
11 General linear transformations in different bases/134 Notes Linear transformations Problem 3.pdf 2.33 MB
11 General linear transformations in different bases/134 Slides Linear transformations Problem 3.pdf 206.65 KB
11 General linear transformations in different bases/135 Notes Linear transformations Problem 4.pdf 3.41 MB
11 General linear transformations in different bases/135 Slides Linear transformations Problem 4.pdf 269.55 KB
11 General linear transformations in different bases/136 Notes Linear transformations Problem 5.pdf 1.41 MB
11 General linear transformations in different bases/136 Slides Linear transformations Problem 5.pdf 205.93 KB
11 General linear transformations in different bases/137 Notes Linear transformations Problem 6.pdf 1.04 MB
11 General linear transformations in different bases/137 Slides Linear transformations Problem 6.pdf 264.33 KB
11 General linear transformations in different bases/138 Slides Linear transformations in different bases.pdf 336.3 KB
11 General linear transformations in different bases/139 Notes Linear transformations in different bases Problem 7.pdf 1.32 MB
11 General linear transformations in different bases/139 Slides Linear transformations in different bases Problem 7.pdf 292.7 KB
11 General linear transformations in different bases/140 Notes Linear transformations in different bases Problem 8.pdf 1.21 MB
11 General linear transformations in different bases/140 Slides Linear transformations in different bases Problem 8.pdf 293.23 KB
11 General linear transformations in different bases/141 Notes Linear transformations in different bases Problem 9.pdf 1.06 MB
11 General linear transformations in different bases/141 Slides Linear transformations in different bases Problem 9.pdf 233.76 KB
11 General linear transformations in different bases/142 Notes Linear transformations Problem 10.pdf 575.88 KB
11 General linear transformations in different bases/142 Slides Linear transformations Problem 10.pdf 231.08 KB
11 General linear transformations in different bases/143 Notes Linear transformations Problem 11.pdf 1.4 MB
11 General linear transformations in different bases/143 Slides Linear transformations Problem 11.pdf 231.09 KB
12 Gram-Schmidt process/001 Dot product and orthogonality until now.en.srt 12.82 KB
12 Gram-Schmidt process/001 Dot product and orthogonality until now.mp4 91.1 MB
12 Gram-Schmidt process/002 Orthonormal bases are awesome.en.srt 7.72 KB
12 Gram-Schmidt process/002 Orthonormal bases are awesome.mp4 56.7 MB
12 Gram-Schmidt process/003 Orthonormal bases are awesome, Reason 1_ distance.en.srt 2.79 KB
12 Gram-Schmidt process/003 Orthonormal bases are awesome, Reason 1_ distance.mp4 18.75 MB
12 Gram-Schmidt process/004 Orthonormal bases are awesome, Reason 2_ dot product.en.srt 4.42 KB
12 Gram-Schmidt process/004 Orthonormal bases are awesome, Reason 2_ dot product.mp4 20.86 MB
12 Gram-Schmidt process/005 Orthonormal bases are awesome, Reason 3_ transition matrix.en.srt 3.68 KB
12 Gram-Schmidt process/005 Orthonormal bases are awesome, Reason 3_ transition matrix.mp4 24.76 MB
12 Gram-Schmidt process/006 Orthonormal bases are awesome, Reason 4_ coordinates.en.srt 5.04 KB
12 Gram-Schmidt process/006 Orthonormal bases are awesome, Reason 4_ coordinates.mp4 32.53 MB
12 Gram-Schmidt process/007 Coordinates in ON bases, Problem 1.en.srt 26.27 KB
12 Gram-Schmidt process/007 Coordinates in ON bases, Problem 1.mp4 471.14 MB
12 Gram-Schmidt process/008 Coordinates in orthogonal bases, Theorem and proof.en.srt 8.75 KB
12 Gram-Schmidt process/008 Coordinates in orthogonal bases, Theorem and proof.mp4 50.37 MB
12 Gram-Schmidt process/009 Each orthogonal set is linearly independent, Proof.en.srt 6.7 KB
12 Gram-Schmidt process/009 Each orthogonal set is linearly independent, Proof.mp4 69.2 MB
12 Gram-Schmidt process/010 Coordinates in orthogonal bases, Problem 2.en.srt 19.04 KB
12 Gram-Schmidt process/010 Coordinates in orthogonal bases, Problem 2.mp4 380.51 MB
12 Gram-Schmidt process/011 Orthonormal bases, Problem 3.en.srt 6.7 KB
12 Gram-Schmidt process/011 Orthonormal bases, Problem 3.mp4 143.15 MB
12 Gram-Schmidt process/012 Projection Theorem 1.en.srt 12.88 KB
12 Gram-Schmidt process/012 Projection Theorem 1.mp4 162.06 MB
12 Gram-Schmidt process/013 Projection Theorem 2.en.srt 20.62 KB
12 Gram-Schmidt process/013 Projection Theorem 2.mp4 311.02 MB
12 Gram-Schmidt process/014 Projection Formula, an illustration in the 3-space.en.srt 7.43 KB
12 Gram-Schmidt process/014 Projection Formula, an illustration in the 3-space.mp4 40.46 MB
12 Gram-Schmidt process/015 Calculating projections, Problem 4.en.srt 14.29 KB
12 Gram-Schmidt process/015 Calculating projections, Problem 4.mp4 232.84 MB
12 Gram-Schmidt process/016 Calculating projections, Problem 5.en.srt 8.05 KB
12 Gram-Schmidt process/016 Calculating projections, Problem 5.mp4 137.6 MB
12 Gram-Schmidt process/017 Gram-Schmidt Process.en.srt 10.76 KB
12 Gram-Schmidt process/017 Gram-Schmidt Process.mp4 70.99 MB
12 Gram-Schmidt process/018 Gram-Schmidt Process, Our unifying example.en.srt 7.43 KB
12 Gram-Schmidt process/018 Gram-Schmidt Process, Our unifying example.mp4 39.8 MB
12 Gram-Schmidt process/019 Gram-Schmidt Process, Problem 6.en.srt 12.24 KB
12 Gram-Schmidt process/019 Gram-Schmidt Process, Problem 6.mp4 198.43 MB
12 Gram-Schmidt process/020 Gram-Schmidt Process, Problem 7.en.srt 19.2 KB
12 Gram-Schmidt process/020 Gram-Schmidt Process, Problem 7.mp4 285.03 MB
12 Gram-Schmidt process/144 Slides Dot product and orthogonality until now.pdf 4.54 MB
12 Gram-Schmidt process/145 Slides Orthonormal bases are awesome.pdf 393.26 KB
12 Gram-Schmidt process/146 Slides Orthonormal bases are awesome Reason 1 Distance.pdf 258.79 KB
12 Gram-Schmidt process/147 Slides Orthonormal bases are awesome Reason 2 Dot product.pdf 480.36 KB
12 Gram-Schmidt process/148 Slides Orthonormal bases are awesome Reason 3 Transition matrix.pdf 851.27 KB
12 Gram-Schmidt process/149 Slides Orthonormal bases are awesome Reason 4 Coordinates.pdf 235.43 KB
12 Gram-Schmidt process/150 Notes Coordinates in ON bases Problem 1.pdf 2.51 MB
12 Gram-Schmidt process/150 Slides Coordinates in ON bases Problem 1.pdf 524.92 KB
12 Gram-Schmidt process/151 Slides Coordinates in orthogonal bases Theorem and proof.pdf 696.1 KB
12 Gram-Schmidt process/152 Slides Each orthogonal set is linearly independent Proof.pdf 263.43 KB
12 Gram-Schmidt process/153 Notes Coordinates in orthogonal bases Problem 2.pdf 1.75 MB
12 Gram-Schmidt process/153 Slides Coordinates in orthogonal bases Problem 2.pdf 329.48 KB
12 Gram-Schmidt process/154 Notes Orthonormal bases Problem 3.pdf 583.27 KB
12 Gram-Schmidt process/154 Slides Orthonormal bases Problem 3.pdf 208.33 KB
12 Gram-Schmidt process/155 Notes Projection Theorem 1.pdf 545.13 KB
12 Gram-Schmidt process/155 Slides Projection Theorem 1.pdf 1.18 MB
12 Gram-Schmidt process/156 Notes Projection Theorem 2.pdf 1.92 MB
12 Gram-Schmidt process/156 Slides Projection Theorem 2.pdf 416.68 KB
12 Gram-Schmidt process/157 Slides Projection Formula An illustration in the 3-space.pdf 418.75 KB
12 Gram-Schmidt process/158 Notes Calculating projections Problem 4.pdf 794.32 KB
12 Gram-Schmidt process/158 Slides Calculating projections Problem 4.pdf 418.59 KB
12 Gram-Schmidt process/159 Notes Calculating projections Problem 5.pdf 1.02 MB
12 Gram-Schmidt process/159 Slides Calculating projections Problem 5.pdf 278.52 KB
12 Gram-Schmidt process/160 Slides Gram Schmidt Process.pdf 872.58 KB
12 Gram-Schmidt process/161 Slides Gram Schmidt Process Our unifying example.pdf 1.54 MB
12 Gram-Schmidt process/162 Notes Gram Schmidt Process Problem 6.pdf 1.03 MB
12 Gram-Schmidt process/162 Slides Gram Schmidt Process Problem 6.pdf 330.13 KB
12 Gram-Schmidt process/163 Article-Solved-Problems-Gram-Schmidt.pdf 139.99 KB
12 Gram-Schmidt process/163 Notes Gram Schmidt Process Problem 7.pdf 1.52 MB
12 Gram-Schmidt process/163 Slides Gram Schmidt Process Problem 7.pdf 799.06 KB
13 Orthogonal matrices/001 Product of a matrix and its transposed is symmetric.en.srt 6.16 KB
13 Orthogonal matrices/001 Product of a matrix and its transposed is symmetric.mp4 44.76 MB
13 Orthogonal matrices/002 Definition and examples of orthogonal matrices.en.srt 8.08 KB
13 Orthogonal matrices/002 Definition and examples of orthogonal matrices.mp4 35.73 MB
13 Orthogonal matrices/003 Geometry of 2-by-2 orthogonal matrices.en.srt 7.89 KB
13 Orthogonal matrices/003 Geometry of 2-by-2 orthogonal matrices.mp4 39.96 MB
13 Orthogonal matrices/004 A 3-by-3 example.en.srt 7.32 KB
13 Orthogonal matrices/004 A 3-by-3 example.mp4 108.51 MB
13 Orthogonal matrices/005 Useful formulas for the coming proofs.en.srt 7.67 KB
13 Orthogonal matrices/005 Useful formulas for the coming proofs.mp4 128.39 MB
13 Orthogonal matrices/006 Property 1_ Determinant of each orthogonal matrix is 1 or −1.en.srt 8.11 KB
13 Orthogonal matrices/006 Property 1_ Determinant of each orthogonal matrix is 1 or −1.mp4 35.09 MB
13 Orthogonal matrices/007 Property 2_ Each orthogonal matrix A is invertible and A−1 is also orthogona.en.srt 5.22 KB
13 Orthogonal matrices/007 Property 2_ Each orthogonal matrix A is invertible and A−1 is also orthogona.mp4 99.43 MB
13 Orthogonal matrices/008 Property 3_ Orthonormal columns and rows.en.srt 5.55 KB
13 Orthogonal matrices/008 Property 3_ Orthonormal columns and rows.mp4 32.89 MB
13 Orthogonal matrices/009 Property 4_ Orthogonal matrices are transition matrices between ON-bases.en.srt 8.72 KB
13 Orthogonal matrices/009 Property 4_ Orthogonal matrices are transition matrices between ON-bases.mp4 37.91 MB
13 Orthogonal matrices/010 Property 5_ Preserving distances and angles.en.srt 26.59 KB
13 Orthogonal matrices/010 Property 5_ Preserving distances and angles.mp4 366.15 MB
13 Orthogonal matrices/011 Property 6_ Product of orthogonal matrices is orthogonal.en.srt 6.09 KB
13 Orthogonal matrices/011 Property 6_ Product of orthogonal matrices is orthogonal.mp4 128 MB
13 Orthogonal matrices/012 Orthogonal matrices, Problem 1.en.srt 12.58 KB
13 Orthogonal matrices/012 Orthogonal matrices, Problem 1.mp4 250.08 MB
13 Orthogonal matrices/013 Orthogonal matrices, Problem 2.en.srt 8.56 KB
13 Orthogonal matrices/013 Orthogonal matrices, Problem 2.mp4 160.88 MB
13 Orthogonal matrices/164 Slides Product of a matrix and its transposed is symmetric.pdf 797.63 KB
13 Orthogonal matrices/165 Slides Definition and examples of orthogonal matrices.pdf 3.07 MB
13 Orthogonal matrices/166 Slides Geometry of 2 by 2 orthogonal matrices.pdf 3.54 MB
13 Orthogonal matrices/167 Notes A 3 by 3 example.pdf 413.66 KB
13 Orthogonal matrices/167 Slides A 3 by 3 example.pdf 416.17 KB
13 Orthogonal matrices/168 Notes Useful formulas for the coming proofs.pdf 541.1 KB
13 Orthogonal matrices/168 Slides Useful formulas for the coming proofs.pdf 749.16 KB
13 Orthogonal matrices/169 Slides Property 1 Determinant of each orthogonal matrix is 1 or -1.pdf 1.06 MB
13 Orthogonal matrices/170 Notes Property 2 Each orthogonal matrix is invertible and the inverse is also orthogonal.pdf 562.15 KB
13 Orthogonal matrices/170 Slides Property 2 Each orthogonal matrix is invertible and the inverse is also orthogonal.pdf 393.85 KB
13 Orthogonal matrices/171 Slides Property 3 Orthonormal columns and rows.pdf 351.12 KB
13 Orthogonal matrices/172 Slides Property 4 Orthogonal matrices are transition matrices between ON-bases.pdf 1.64 MB
13 Orthogonal matrices/173 Notes Property 5 Preserving distances and angles.pdf 2.29 MB
13 Orthogonal matrices/173 Slides Property 5 Preserving distances and angles.pdf 647.41 KB
13 Orthogonal matrices/174 Notes Property 6 Product of orthogonal matrices is orthogonal.pdf 732.5 KB
13 Orthogonal matrices/174 Slides Property 6 Product of orthogonal matrices is orthogonal.pdf 159.33 KB
13 Orthogonal matrices/175 Notes Orthogonal matrices Problem 1.pdf 1.1 MB
13 Orthogonal matrices/175 Slides Orthogonal matrices Problem 1.pdf 381.98 KB
13 Orthogonal matrices/176 Notes Orthogonal matrices Problem 2.pdf 637.98 KB
13 Orthogonal matrices/176 Slides Orthogonal matrices Problem 2.pdf 223.9 KB
14 Eigenvalues and eigenvectors/001 Crash course in factoring polynomials.en.srt 21.91 KB
14 Eigenvalues and eigenvectors/001 Crash course in factoring polynomials.mp4 97.21 MB
14 Eigenvalues and eigenvectors/002 Eigenvalues and eigenvectors, the terms.en.srt 2.63 KB
14 Eigenvalues and eigenvectors/002 Eigenvalues and eigenvectors, the terms.mp4 28.2 MB
14 Eigenvalues and eigenvectors/003 Order of defining, order of computing.en.srt 2.03 KB
14 Eigenvalues and eigenvectors/003 Order of defining, order of computing.mp4 13.24 MB
14 Eigenvalues and eigenvectors/004 Eigenvalues and eigenvectors geometrically.en.srt 17.56 KB
14 Eigenvalues and eigenvectors/004 Eigenvalues and eigenvectors geometrically.mp4 95.43 MB
14 Eigenvalues and eigenvectors/005 Eigenvalues and eigenvectors, Problem 1.en.srt 5.25 KB
14 Eigenvalues and eigenvectors/005 Eigenvalues and eigenvectors, Problem 1.mp4 91.29 MB
14 Eigenvalues and eigenvectors/006 How to compute eigenvalues Characteristic polynomial.en.srt 18.52 KB
14 Eigenvalues and eigenvectors/006 How to compute eigenvalues Characteristic polynomial.mp4 85.44 MB
14 Eigenvalues and eigenvectors/007 How to compute eigenvectors.en.srt 18.68 KB
14 Eigenvalues and eigenvectors/007 How to compute eigenvectors.mp4 319.73 MB
14 Eigenvalues and eigenvectors/008 Finding eigenvalues and eigenvectors_ short and sweet.en.srt 5.95 KB
14 Eigenvalues and eigenvectors/008 Finding eigenvalues and eigenvectors_ short and sweet.mp4 42.08 MB
14 Eigenvalues and eigenvectors/009 Eigenvalues and eigenvectors for examples from Video 180.en.srt 32.99 KB
14 Eigenvalues and eigenvectors/009 Eigenvalues and eigenvectors for examples from Video 180.mp4 522.93 MB
14 Eigenvalues and eigenvectors/010 Eigenvalues and eigenvectors, Problem 3.en.srt 28.68 KB
14 Eigenvalues and eigenvectors/010 Eigenvalues and eigenvectors, Problem 3.mp4 555.37 MB
14 Eigenvalues and eigenvectors/011 Eigenvalues and eigenvectors, Problem 4.en.srt 13.16 KB
14 Eigenvalues and eigenvectors/011 Eigenvalues and eigenvectors, Problem 4.mp4 248.22 MB
14 Eigenvalues and eigenvectors/012 Eigenvalues and eigenvectors, Problem 5.en.srt 20.46 KB
14 Eigenvalues and eigenvectors/012 Eigenvalues and eigenvectors, Problem 5.mp4 403.03 MB
14 Eigenvalues and eigenvectors/013 Eigenvalues and eigenvectors, Problem 6.en.srt 29.3 KB
14 Eigenvalues and eigenvectors/013 Eigenvalues and eigenvectors, Problem 6.mp4 603.45 MB
14 Eigenvalues and eigenvectors/014 Eigenvalues and eigenvectors, Problem 7.en.srt 8.96 KB
14 Eigenvalues and eigenvectors/014 Eigenvalues and eigenvectors, Problem 7.mp4 54.91 MB
14 Eigenvalues and eigenvectors/177 Slides Crash course in factoring polynomials.pdf 1.79 MB
14 Eigenvalues and eigenvectors/178 Slides Eigenvalues and eigenvectors The terms.pdf 574.31 KB
14 Eigenvalues and eigenvectors/179 Slides Order of defining Order of computing.pdf 64.78 KB
14 Eigenvalues and eigenvectors/180 Slides Eigenvalues and eigenvectors geometrically.pdf 4.48 MB
14 Eigenvalues and eigenvectors/181 Notes Eigenvalues and eigenvectors Problem 1.pdf 424.2 KB
14 Eigenvalues and eigenvectors/181 Slides Eigenvalues and eigenvectors Problem 1.pdf 578.79 KB
14 Eigenvalues and eigenvectors/182 Slides How to compute eigenvalues Characteristic polynomial.pdf 2.05 MB
14 Eigenvalues and eigenvectors/183 Notes How to compute eigenvectors.pdf 1.12 MB
14 Eigenvalues and eigenvectors/183 Slides How to compute eigenvectors.pdf 1.83 MB
14 Eigenvalues and eigenvectors/184 Slides Finding eigenvalues and eigenvectors Short and sweet.pdf 495.23 KB
14 Eigenvalues and eigenvectors/185 Notes Eigenvalues and eigenvectors for examples from Video 180.pdf 3.35 MB
14 Eigenvalues and eigenvectors/185 Slides Eigenvalues and eigenvectors for examples from Video 180.pdf 5.24 MB
14 Eigenvalues and eigenvectors/186 Notes Eigenvalues and eigenvectors Problem 3.pdf 1.94 MB
14 Eigenvalues and eigenvectors/186 Slides Eigenvalues and eigenvectors Problem 3.pdf 372.81 KB
14 Eigenvalues and eigenvectors/187 Notes Eigenvalues and eigenvectors Problem 4.pdf 1.14 MB
14 Eigenvalues and eigenvectors/187 Slides Eigenvalues and eigenvectors Problem 4.pdf 373.08 KB
14 Eigenvalues and eigenvectors/188 Notes Eigenvalues and eigenvectors Problem 5.pdf 1.72 MB
14 Eigenvalues and eigenvectors/188 Slides Eigenvalues and eigenvectors Problem 5.pdf 299.08 KB
14 Eigenvalues and eigenvectors/189 Notes Eigenvalues and eigenvectors Problem 6.pdf 2.45 MB
14 Eigenvalues and eigenvectors/189 Slides Eigenvalues and eigenvectors Problem 6.pdf 299.06 KB
14 Eigenvalues and eigenvectors/190 Article-Solved-Problems-Eigenvalues.pdf 129.31 KB
14 Eigenvalues and eigenvectors/190 Slides Eigenvalues and eigenvectors Problem 7.pdf 3.43 MB
15 Diagonalization/001 Why you should love diagonal matrices.en.srt 9.46 KB
15 Diagonalization/001 Why you should love diagonal matrices.mp4 42.45 MB
15 Diagonalization/002 Similar matrices.en.srt 3.1 KB
15 Diagonalization/002 Similar matrices.mp4 18.15 MB
15 Diagonalization/003 Similarity of matrices is an equivalence relation (RST).en.srt 15.24 KB
15 Diagonalization/003 Similarity of matrices is an equivalence relation (RST).mp4 80.55 MB
15 Diagonalization/004 Shared properties of similar matrices.en.srt 7.92 KB
15 Diagonalization/004 Shared properties of similar matrices.mp4 40.91 MB
15 Diagonalization/005 Diagonalizable matrices.en.srt 4.67 KB
15 Diagonalization/005 Diagonalizable matrices.mp4 24.58 MB
15 Diagonalization/006 How to diagonalize a matrix, a recipe.en.srt 13.19 KB
15 Diagonalization/006 How to diagonalize a matrix, a recipe.mp4 71.02 MB
15 Diagonalization/007 Diagonalize our favourite matrix.en.srt 7.54 KB
15 Diagonalization/007 Diagonalize our favourite matrix.mp4 36.48 MB
15 Diagonalization/008 Eigenspaces; geometric and algebraic multiplicity of eigenvalues.en.srt 14.54 KB
15 Diagonalization/008 Eigenspaces; geometric and algebraic multiplicity of eigenvalues.mp4 103.73 MB
15 Diagonalization/009 Eigenspaces, Problem 2.en.srt 28.95 KB
15 Diagonalization/009 Eigenspaces, Problem 2.mp4 584.94 MB
15 Diagonalization/010 Eigenvectors corresponding to different eigenvalues are linearly independent.en.srt 21.25 KB
15 Diagonalization/010 Eigenvectors corresponding to different eigenvalues are linearly independent.mp4 458.94 MB
15 Diagonalization/011 A sufficient, but not necessary, condition for diagonalizability.en.srt 2.99 KB
15 Diagonalization/011 A sufficient, but not necessary, condition for diagonalizability.mp4 22.33 MB
15 Diagonalization/012 Necessary and sufficient condition for diagonalizability.en.srt 11.14 KB
15 Diagonalization/012 Necessary and sufficient condition for diagonalizability.mp4 54.73 MB
15 Diagonalization/013 Diagonalizability, Problem 3.en.srt 16.65 KB
15 Diagonalization/013 Diagonalizability, Problem 3.mp4 257.66 MB
15 Diagonalization/014 Diagonalizability, Problem 4.en.srt 4.92 KB
15 Diagonalization/014 Diagonalizability, Problem 4.mp4 63.66 MB
15 Diagonalization/015 Diagonalizability, Problem 5.en.srt 7.93 KB
15 Diagonalization/015 Diagonalizability, Problem 5.mp4 90.01 MB
15 Diagonalization/016 Diagonalizability, Problem 6.en.srt 5.15 KB
15 Diagonalization/016 Diagonalizability, Problem 6.mp4 58.77 MB
15 Diagonalization/017 Diagonalizability, Problem 7.en.srt 12.23 KB
15 Diagonalization/017 Diagonalizability, Problem 7.mp4 250.49 MB
15 Diagonalization/018 Powers of matrices.en.srt 5.38 KB
15 Diagonalization/018 Powers of matrices.mp4 25.55 MB
15 Diagonalization/019 Powers of matrices, Problem 8.en.srt 8.58 KB
15 Diagonalization/019 Powers of matrices, Problem 8.mp4 164.97 MB
15 Diagonalization/020 Diagonalization, Problem 9.en.srt 9.61 KB
15 Diagonalization/020 Diagonalization, Problem 9.mp4 120.7 MB
15 Diagonalization/021 Sneak peek into the next course; orthogonal diagonalization.en.srt 5.92 KB
15 Diagonalization/021 Sneak peek into the next course; orthogonal diagonalization.mp4 29.44 MB
15 Diagonalization/191 Slides Why you should love diagonal matrices.pdf 1010.54 KB
15 Diagonalization/192 Slides Similar matrices.pdf 777.02 KB
15 Diagonalization/193 Slides Similarity of matrices is an equivalence relation RST.pdf 1.42 MB
15 Diagonalization/194 Slides Shared properties of similar matrices.pdf 1.25 MB
15 Diagonalization/195 Slides Diagonalizable matrices.pdf 1.05 MB
15 Diagonalization/196 Slides How to diagonalize a matrix A recipe.pdf 1.28 MB
15 Diagonalization/197 Slides Diagonalize our favorite matrix.pdf 2.98 MB
15 Diagonalization/198 Slides Eigenspaces Geometric and algebraic multiplicity of eigenvalues.pdf 597.11 KB
15 Diagonalization/199 Notes Eigenspaces Problem 2.pdf 2.49 MB
15 Diagonalization/199 Slides Eigenspaces Problem 2.pdf 231.35 KB
15 Diagonalization/200 Notes Eigenvectors corresponding to different eigenvalues are linearly independent.pdf 3.03 MB
15 Diagonalization/200 Slides Eigenvectors corresponding to different eigenvalues are linearly independent.pdf 236.88 KB
15 Diagonalization/201 Slides Sufficient but not necessary condition for diagonalizability.pdf 434.82 KB
15 Diagonalization/202 Slides Necessary and sufficient condition for diagonalizability.pdf 1.55 MB
15 Diagonalization/203 Notes Diagonalizability Problem 3.pdf 1.02 MB
15 Diagonalization/203 Slides Diagonalizability Problem 3.pdf 477.91 KB
15 Diagonalization/204 Notes Diagonalizability Problem 4.pdf 495.35 KB
15 Diagonalization/204 Slides Diagonalizability Problem 4.pdf 1.09 MB
15 Diagonalization/205 Notes Diagonalizability Problem 5.pdf 468.34 KB
15 Diagonalization/205 Slides Diagonalizability Problem 5.pdf 2.09 MB
15 Diagonalization/206 Notes Diagonalizability Problem 6.pdf 448.73 KB
15 Diagonalization/206 Slides Diagonalizability Problem 6.pdf 1.16 MB
15 Diagonalization/207 Notes Diagonalizability Problem 7.pdf 1.04 MB
15 Diagonalization/207 Slides Diagonalizability Problem 7.pdf 341.47 KB
15 Diagonalization/208 Slides Powers of matrices.pdf 458.95 KB
15 Diagonalization/209 Notes Powers of matrices Problem 8.pdf 974.08 KB
15 Diagonalization/209 Slides Powers of matrices Problem 8.pdf 671.25 KB
15 Diagonalization/210 Notes Diagonalization Problem 9.pdf 648.54 KB
15 Diagonalization/210 Slides Diagonalization Problem 9.pdf 606.43 KB
15 Diagonalization/211 Article-Solved-Problems-Diagonalization.pdf 135.04 KB
15 Diagonalization/211 Slides Sneak peek into the next course Orthogonal diagonalization.pdf 4.83 MB
16 Wrap-up Linear Algebra and Geometry 2/001 Linear Algebra and Geometry 2, Wrap-up.en.srt 7.81 KB
16 Wrap-up Linear Algebra and Geometry 2/001 Linear Algebra and Geometry 2, Wrap-up.mp4 53.61 MB
16 Wrap-up Linear Algebra and Geometry 2/002 Yes, there will be Part 3!.en.srt 3.94 KB
16 Wrap-up Linear Algebra and Geometry 2/002 Yes, there will be Part 3!.mp4 23.7 MB
16 Wrap-up Linear Algebra and Geometry 2/003 Final words.en.srt 668 B
16 Wrap-up Linear Algebra and Geometry 2/003 Final words.mp4 14.86 MB
16 Wrap-up Linear Algebra and Geometry 2/212 Slides Linear Algebra and Geometry 2 Wrap-up.pdf 13.68 MB
16 Wrap-up Linear Algebra and Geometry 2/213 Slides Yes There will be Part 3.pdf 314.3 KB
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