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Sheldon Axler《Linear Algebra Done Right》视频

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2019-08-13 19:41:34

Sheldon Axler《Linear Algebra Done Right》配套视频（英文字幕）课件：http://linear.axler.net/LADRvideos.html

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星星之火，可以燎原

1.1.Introduction

04:21

2.2.R^n and C^n

10:09

3.3.Definition of Vector Space

08:51

4.4.Subspaces

10:12

5.5.Span and Linear Independence

13:41

6.6.Bases

09:35

7.7.Dimension

10:08

8.8.Vector Space of Linear Maps

14:02

9.9.Null Spaces And Ranges

15:25

10.10.The Matrix of a Linear Map

12:21

11.11.Matrix Multiplication

13:20

12.12.Invertibility and Isomorphic Vector

13:55

13.13.Products of Vector Spaces

07:26

14.14.Quotients of Vector Spaces

09:07

15.15.Dual Bases and Dual Maps

11:33

16.16.Annihilators and the Matrix of a D

15:42

17.17.Polynomials

12:08

18.18.Invariant Subspaces

16:55

19.19.Existence of Eigenvalues

14:33

20.20.Upper Triangular Matices

09:01

21.21.Eigenspaces and Diagonal Matrices

11:31

22.22.Inner Products

11:19

23.23.Norms

12:47

24.24.Orthonormal Bases

14:12

25.25.Orthogonal Complements

09:00

26.26.Minimization Problems

08:51

28.28.Self-Adjoint Operators

09:01

29.29.Normal Operators

09:33

30.30.The Spectral Theorem

11:19

31.31.Positive Operators

14:45

32.32.Isometries

17:16

33.33.Polar Decomposition

12:29

34.34.Singular Value Decomposition

16:47

35.35.Null Spaces of Powers of an Operat

11:12

36.36.Generalized Eigenvectors

12:57

37.37.Nilpotent Operators

06:11

38.38.Decomposition Via Generalized Eige

12:49

39.39.Block Diagonal Matrices

04:32

40.40.Square Roots of Operators

09:01

44.44.Complexification

19:40

45.45.Normal Operators on Real Inner Pro

09:09

46.46.Isometries on Real Inner Product S

08:06

47.47.Change of Basis

10:53

48.48.Trace of an Operator and of a Matr

15:54

49.49.Determinant of an Operator and of

20:20

50.50.Change of Variables in Integration

24:31

41.41.The Characteristic Polynomial

07:00

42.42.The Minimal Polynomial

15:35

43.43.Jordan Form

10:29

27.27.Adjoints

13:16

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