[lectures in English] 線性代數 Linear Algebra--林源倍 / 交大

source: NCTU OCW     2017年12月28日
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本課程是由交通大學電機工程學系提供。 (This course is taught in English.)

1 10:18 CH1.1 Matrices and Vectors
2 13:59 CH1.2 Linear Combination, matrix-vector product, and special matrices
3 15:48 CH1.3-1 System of linear equation PartI
4 19:13 CH1.3-2 System of linear equation PartII
5 14:07 CH1.4-1 Gaussion elimination Part I
6 17:17 CH1.4-2 Gaussion elimination Part II
7 21:03 CH1.6-1 Span Part I
8 11:14 CH1.6-2 Span Part II
9 19:52 CH1.7-1 Linearly independent sets and Linearly dependent sets Part I
10 16:54 CH1.7-2 Linearly independent sets and Linearly dependent sets Part II
11 14:51 Ch2 Matrices and linear transformation CH2.1 matrix multiplication
12 24:14 CH2.3 Invertible matrices and Elementary matrices
13 11:25 CH2.3 Invertible matrices and Elementary matrices CH2.4 Inverses Part I
14 20:06 CH2.3 Invertible matrices and Elementary matrices CH2.4 Inverses Part II
15 20:37 CH2.7-1 Linearly transformation and matrices Part I
16 5:41 CH2.7-2 Linearly transformation and matrices Part II
17 9:07 CH2.8-1 Composition and invertibility of linear tr Part I
18 9:54 CH2.8-2 Composition and invertibility of linear tr Part II
19 10:55 CH3 Determinants CH3.1Cofactor expansion
20 21:33 CH3.2-1 Properties of determinants Part I
21 10:44 CH3.2-2 Properties of determinants Part II
22 10:19 CH4 Subspaces and Properties
23 5:16 CH4.2-1 Basis and dimension Part I
24 11:29 CH4.2-2 Basis and dimension Part II
25 7:29 CH4.2-3 Basis and dimension Part III
26 13:48 CH4.3 Dimension of ColA, RowA, NullA
27 12:01 CH4.4-1 Coordinate systems Part I
28 13:51 CH4.4-2 Coordinate systems Part II
29 10:48 CH4.5 Matrix representationof linear operator
30 14:00 CH5 Eigen values, eigen vectors and diagonalization
31 10:18 CH5.2-1 Characteristic Polynomials Part I
32 17:41 CH5.2-2 Characteristic Polynomials Part II
33 34:42 CH5.3 Diagonalization of matrices
34 12:34 CH6 Orthogonality CH6.1-1 Geometry of vectors Part I
35 8:39 CH6.1-2 Geometry of vectors Part II
36 12:45 CH6.2-1 Orthogonal Vectors (orch) Part I
37 30:33 CH6.2-2 Orthogonal Vectors (orch) Part II
38 22:00 CH6.3-1 Orth. Projection Part I
39 25:18 CH6.3-2 Orth. Projection Part II
40 15:18 CH6.4-1 Least-squares approximation and o.p. matrices Part I
41 12:50 CH6.4-2 Least-squares approximation and o.p. matrices Part II
42 11:01 CH6.5 Orth. matrices
43 23:27 CH6.6-1 Symmetric matrices Part I
44 24:43 CH6.6-2 Symmetric matrices Part II
45 18:35 CH6.7-1 Singular value decomposition Part I
46 15:12 CH6.7-2 Singular value decomposition Part II
47 27:04 CH7 Vector spaces CH 7.1-1 Vector spaces and their subspace Part I
48 10:07 CH 7.1-2 Vector spaces and their subspace Part II
49 24:30 CH 7.2-1 Linear transformations Part I
50 24:33 CH 7.2-2 Linear transformations Part II
51 23:32 CH 7.3-1 Basis and Dimensions Part I
52 5:50 CH 7.3-2 Basis and Dimensions Part II
53 15:04 CH 7.4-1 Matrix representation of linear operator Part I
54 10:15 CH 7.4-2 Matrix representation of linear operator Part II
55 13:43 CH 7.5-1 Inner product space Part I
56 14:27 CH 7.5-2 Inner product space Part II