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| Lecture #1: The Geometry of Linear Equations (56k)|(80K)|(220k) |
Lecture #19: Determinant Formulas and Cofactors (56k)|(80K)|(220k) |
| Lecture #2: Elimination with Matrices (56k)|(80K)|(220k) |
Lecture #20: Cramer's Rule, Inverse Matrix, and Volume (56k)|(80K)|(220k) |
| Lecture #3: Multiplication and Inverse Matrices (56k)|(80K)|(220k) |
Lecture #21: Eigenvalues and Eigenvectors (56k)|(80K)|(220k) |
| Lecture #4: Factorization into A = LU (56k)|(80K)|(220k) |
Lecture #22: Diagonalization and Powers of A (56k)|(80K)|(220k) |
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Lecture #5: Transposes, Permutations, Spaces R^n (56k)|(80K)|(220k)
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Lecture #23: Differential Equations and exp(At) (56k)|(80K)|(220k) |
| Lecture #6: Column Space and Nullspace (56k)|(80K)|(220k) |
Lecture #24 : Markov Matrices; Fourier Series (56k)|(80K)|(220k) |
| Lecture #7: Solving Ax = 0: Pivot Variables, Special Solutions (56k)|(80K)|(220k) |
Lecture #24.5 : Quiz 2 Review (56k)|(80K)|(220k) |
| Lecture #8: Solving Ax = b: Row Reduced Form R (56k)|(80K)|(220k) |
Lecture #25 : Symmetric Matrices and Positive Definiteness (56k)|(80K)|(220k) |
| Lecture #9: Independence, Basis, and Dimension (56k)|(80K)|(220k) |
Lecture #26 : Complex Matrices; Fast Fourier Transform (56k)|(80K)|(220k)
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| Lecture #10: The Four Fundamental Subspaces (56k)|(80K)|(220k) |
Lecture #27 : Positive Definite Matrices and Minima (56k)|(80K)|(220k) |
| Lecture #11: Matrix Spaces; Rank 1; Small World Graphs (56k)|(80K)|(220k) |
Lecture #28 : Similar Matrices and Jordan Form (56k)|(80K)|(220k) |
| Lecture #12: Graphs, Networks, Incidence Matrices (56k)|(80K)|(220k) |
Lecture #29 : Singular Value Decomposition (56k)|(80K)|(220k) |
| Lecture #13: Quiz 1 Review (56k)|(80K)|(220k) |
Lecture #30 : Linear Transformations and Their Matrices (56k)|(80K)|(220k) |
| Lecture #14: Orthogonal Vectors and Subspaces (56k)|(80K)|(220k) |
Lecture #31: Change of Basis; Image Compression (56k)|(80K)|(220k) |
| Lecture #15: Projections onto Subspaces (56k)|(80K)|(220k) |
Lecture #32: Quiz 3 Review (56k)|(80K)|(220k) |
| Lecture #16: Projection Matrices and Least Squares (56k)|(80K)|(220k) |
Lecture #33: Left and Right Inverses; Pseudoinverse (56k)|(80K)|(220k) |
| Lecture #17: Orthogonal Matrices and Gram-Schmidt (56k)|(80K)|(220k) |
Lecture #34: Final Course Review (56k)|(80K)|(220k) |
| Lecture #18: Properties of Determinants (56k)|(80K)|(220k) |
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