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