麻省理工 线性代数 (MIT 18.06, Linear Algebra, Gilbert Strang)【中英】
视频地址：https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8
课程地址：https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/
教材，习题，测验：https://u11958545.ctfile.com/fs/11958545-323727138
视频选集
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01#The Geometry of Linear Equations
39:50
02#Elimination with Matrices
47:42
03#Multiplication and Inverse Matrices
46:49
04#Factorization into A = LU
49:07
05#Transposes, Permutations, Spaces R^n
47:42
06#Column Space and Nullspace
46:02
07#Solving Ax = 0 Pivot Variables, Special Solutions
43:20
08#Solving Ax = b Row Reduced Form R
47:20
09#Independence, Basis, and Dimension
50:21
10#The Four Fundamental Subspaces
49:27
11#Matrix Spaces Rank 1 - Small World Graphs
46:02
12#Graphs, Networks, Incidence Matrices
47:58
13#Quiz 1 Review
47:40
14#Orthogonal Vectors and Subspaces
49:48
15#Projections onto Subspaces
48:52
16#Projection Matrices and Least Squares
48:06
17#Orthogonal Matrices and Gram-Schmidt
49:25
18#Properties of Determinants
49:13
19#Determinant Formulas and Cofactors
53:18
20#Cramer's Rule, Inverse Matrix, and Volume
51:02
21#Eigenvalues and Eigenvectors
51:23
22#Diagonalization and Powers of A
51:51
23#Differential Equations and exp(At)
51:04
24#Markov Matrices, Fourier Series
51:12
25#Quiz 2 Review
48:21
26#Symmetric Matrices and Positive Definiteness
43:53
27#Complex Matrices, Fast Fourier Transform
47:52
28#Positive Definite Matrices and Minima
50:41
29#Similar Matrices and Jordan Form
45:57
30#Singular Value Decomposition
41:36
31#Linear Transformations and Their Matrices
49:28
32#Change of Basis, Image Compression
50:14
33#Quiz 3 Review
47:06
34#Left and Right Inverses, Pseudoinverse
41:53
35#Final Course Review
43:27
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