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Lecture 1-The Geometry of Linear Equations |
Linear Algebra |
39m 49s |
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Lecture 2-Elimination with Matrices |
Linear Algebra |
47m 42s |
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Lecture 3-Multiplication and Inverse Matrices |
Linear Algebra |
46m 49s |
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Lecture 4-Factorization into A = LU |
Linear Algebra |
50m 13s |
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Lecture 5-Transposes, Permutations, Spaces R^n |
Linear Algebra |
47m 42s |
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Lecture 6-Column Space and Nullspace |
Linear Algebra |
46m 01s |
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Lecture 7-Solving Ax = 0: Pivot Variables, Special Solutions |
Linear Algebra |
43m 20s |
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Lecture 8-Solving Ax = b: Row Reduced Form R |
Linear Algebra |
47m 20s |
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Lecture 9-Independence, Basis, and Dimension |
Linear Algebra |
50m 14s |
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Lecture 10-The Four Fundamental Subspaces |
Linear Algebra |
49m 20s |
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Lecture 11-Matrix Spaces; Rank 1; Small World Graphs |
Linear Algebra |
45m 56s |
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Lecture 12-Graphs, Networks, Incidence Matrices |
Linear Algebra |
47m 57s |
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Lecture 13-Quiz 1 Review |
Linear Algebra |
47m 40s |
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Lecture 14-Orthogonal Vectors and Subspaces |
Linear Algebra |
49m 48s |
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Lecture 15-Projections onto Subspaces |
Linear Algebra |
48m 51s |
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Lecture 16-Projection Matrices and Least Squares |
Linear Algebra |
48m 05s |
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Lecture 17-Orthogonal Matrices and Gram-Schmidt |
Linear Algebra |
49m 25s |
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Lecture 18-Properties of Determinants |
Linear Algebra |
49m 12s |
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Lecture 19-Determinant Formulas and Cofactors |
Linear Algebra |
53m 17s |
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Lecture 20-Cramer’s Rule, Inverse Matrix, and Volume |
Linear Algebra |
51m 01s |
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Lecture 21-Eigenvalues and Eigenvectors |
Linear Algebra |
51m 23s |
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Lecture 22-Diagonalization and Powers of A |
Linear Algebra |
51m 50s |
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Lecture 23-Differential Equations and exp |
Linear Algebra |
51m 03s |
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Lecture 24-Markov Matrices; Fourier Series |
Linear Algebra |
51m 12s |
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Lecture 24b-Quiz 2 Review |
Linear Algebra |
48m 20s |
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Lecture 25-Symmetric Matrices and Positive Definiteness |
Linear Algebra |
43m 52s |
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Lecture 26-Complex Matrices; Fast Fourier Transform |
Linear Algebra |
47m 52s |
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Lecture 27-Positive Definite Matrices and Minima |
Linear Algebra |
50m 40s |
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Lecture 28-Similar Matrices and Jordan Form |
Linear Algebra |
45m 56s |
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Lecture 29-Singular Value Decomposition |
Linear Algebra |
41m 35s |
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Lecture 30-Linear Transformations and Their Matrices |
Linear Algebra |
49m 27s |
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Lecture 31-Change of Basis; Image Compression |
Linear Algebra |
50m 14s |
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Lecture 32-Quiz 3 Review |
Linear Algebra |
47m 06s |
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Lecture 33-Left and Right Inverses; Pseudoinverse |
Linear Algebra |
41m 53s |
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Lecture 34-Final Course Review |
Linear Algebra |
43m 26s |
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