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Section 5-2: Orthogonal Subspaces
Course website of linear algebra: http://bit.ly/nsysu-linalg-2020
(See below for timestamp links.)
National Sun Yat-sen University
Video lecture by Chia-Po Wei

2:12 Range Space (Column Space, R(A))
5:58 Row Space
10:13 Fundamental Subspaces
12:48 Orthogonal Subspaces
16:12 Orthogonal Complement
19:36 Remarks on Orthogonal Complement
25:12 Theorem 5.2.1 (Fundamental Subspaces Theorem)
31:40 Theorem 5.2.2 (dim S + dim S^\perp = n)
40:40 Theorem 5.2.3 (Direct Sum)
47:39 Theorem 5.2.4 ((S^\perp)^\perp) = S
54:41 Corollay 5.2.5
57:55 L: R(A^T) \rightarrow R(A) is invertible
1:03:48 Relationships among Fundamental Subspaces
1:12:10 Example 5.2.4 (Computing fundamental subspaces)
1:14:06 Exercise 5.2.13