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MIT 18.06 Linear Algebra, Spring 2005

by: MIT OpenCourseWare

Publication date: 2005

Usage: Attribution-Noncommercial-Share Alike 3.0 United States

Topics: systems of equations, vector spaces, positive definite matrices, matrix theory, linear algebra, determinants, eigenvalues, similarity, least-squares approximations, stability of differential equations, networks, Fourier transforms, Markov processes

*Please note that Lecture 4 is unavailable in a higher quality format.

Instructor/speaker: Prof. Gilbert Strang
View the complete course at: http://ocw.mit.edu/18-06S05

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

License: Creative Commons BY-NC-SA
More information at http://ocw.mit.edu/terms
More courses at http://ocw.mit.edu

Addeddate: 2008-12-05 16:31:27

Color: color

Identifier: MIT18.06S05_MP4

Sound: sound

Year: 2005

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Reviews

Reviewer: sandipb - - March 1, 2012
Subject: Lower quality than youtube

I downloaded both the mp4 versions here and compared it with the mp4 version downloadable from youtube for the same courses. The quality in youtube seemed markedly better. I agree with the other reviewer though - the smaller mp4 files are of much better quality than the larger one here. The youtube mp4s are only slightly larger than the _512.mp4 files here.

Reviewer: daflory - - June 14, 2011
Subject: Technical comments

Be sure to download the MPEG4 version if possible.

Both the OGV and the MP4 (AVC) look terrible (blocky and jittery), as if they were re-encoded from a bad source.

The MPEG4 version is not only the smallest, but is far easier to watch. The writing on the blackboard is easy to read.

551,705 Views

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ITEM TILE

MPEG4

88.1M

1. The Geometry of Linear Equations

103.1M

2. Elimination with Matrices

106.1M

3. Multiplication and Inverse Matrices

107.2M

4. Factorization into A = LU

103.3M

5. Transposes, Permutations, Spaces R^n

104.2M

6. Column Space and Nullspace

94.4M

7. Solving Ax = 0: Pivot Variables, Special Solutions

102.7M

8. Solving Ax = b: Row Reduced Form R

109.4M

9. Independence, Basis, and Dimension

107.5M

10. The Four Fundamental Subspaces

104.0M

11. Matrix Spaces; Rank 1; Small World Graphs

103.6M

12. Graphs, Networks, Incidence Matrices

102.7M

13. Quiz 1 Review

107.0M

14. Orthogonal Vectors and Subspaces

104.6M

15. Projections onto Subspaces

104.4M

16. Projection Matrices and Least Squares

109.7M

17. Orthogonal Matrices and Gram-Schmidt

105.6M

18. Properties of Determinants

115.1M

19. Determinant Formulas and Cofactors

111.7M

20. Cramer's Rule, Inverse Matrix, and Volume

114.3M

21. Eigenvalues and Eigenvectors

111.7M

22. Diagonalization and Powers of A

115.5M

23. Differential Equations and exp(At)

113.9M

24. Markov Matrices; Fourier Series

107.7M

24b. Quiz 2 Review

97.6M

25. Symmetric Matrices and Positive Definiteness

103.6M

26. Complex Matrices; Fast Fourier Transform

109.8M

27. Positive Definite Matrices and Minima

101.9M

28. Similar Matrices and Jordan Form

89.5M

29. Singular Value Decomposition

107.2M

30. Linear Transformations and Their Matrices

111.9M

31. Change of Basis; Image Compression

102.1M

32. Quiz 3 Review

91.3M

33. Left and Right Inverses; Pseudoinverse

94.2M

34. Final Course Review

170.2M

200.7M

210.5M

206.6M

201.5M

206.8M

184.0M

200.0M

213.4M

209.8M

206.0M

202.8M

201.7M

210.1M

205.7M

204.9M

215.1M

207.0M

225.2M

219.0M

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206.4M

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215.2M

196.0M

173.8M

209.1M

214.7M

199.5M

178.8M

184.3M

SUBRIP

47.1K

1. The Geometry of Linear Equations

55.9K

2. Elimination with Matrices

53.5K

3. Multiplication and Inverse Matrices

47.4K

4. Factorization into A = LU

54.5K

5. Transposes, Permutations, Spaces R^n

54.2K

6. Column Space and Nullspace

50.1K

7. Solving Ax = 0: Pivot Variables, Special Solutions

53.4K

8. Solving Ax = b: Row Reduced Form R

58.3K

9. Independence, Basis, and Dimension

57.2K

10. The Four Fundamental Subspaces

50.9K

11. Matrix Spaces; Rank 1; Small World Graphs

55.5K

12. Graphs, Networks, Incidence Matrices

54.3K

13. Quiz 1 Review

55.2K

14. Orthogonal Vectors and Subspaces

53.7K

15. Projections onto Subspaces

55.1K

16. Projection Matrices and Least Squares

55.2K

17. Orthogonal Matrices and Gram-Schmidt

54.8K

18. Properties of Determinants

68.9K

19. Determinant Formulas and Cofactors

61.2K

20. Cramer's Rule, Inverse Matrix, and Volume

60.1K

21. Eigenvalues and Eigenvectors

62.0K

22. Diagonalization and Powers of A

61.6K

23. Differential Equations and exp(At)

63.6K

24. Markov Matrices; Fourier Series

58.6K

24b. Quiz 2 Review

52.6K

25. Symmetric Matrices and Positive Definiteness

55.7K

26. Complex Matrices; Fast Fourier Transform

58.3K

27. Positive Definite Matrices and Minima

53.9K

28. Similar Matrices and Jordan Form

45.2K

29. Singular Value Decomposition

54.9K

30. Linear Transformations and Their Matrices

56.8K

31. Change of Basis; Image Compression

57.2K

32. Quiz 3 Review

48.4K

33. Left and Right Inverses; Pseudoinverse

48.9K

34. Final Course Review

TORRENT

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