Gilbert Strang lectures on Linear Algebra (MIT)

Lecture videos from Gilbert Strang's course on Linear Algebra at MIT.

Curated by: Robert Talbert (35 videos)

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

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 7. Solving Ax = 0: Pivot Variables, Special Solutions License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

Tracks in this Playlist

Lec 1 | MIT 18.06 Linear Algebra, Spring 2005
2. Elimination with Matrices.
3. Multiplication and Inverse Matrices
Lec 4 | MIT 18.06 Linear Algebra, Spring 2005
5. Transposes, Permutations, Spaces R^n
6. Column Space and Nullspace
7. Solving Ax = 0: Pivot Variables, Special Solutions
8. Solving Ax = b: Row Reduced Form R
9. Independence, Basis, and Dimension
10. The Four Fundamental Subspaces
11. Matrix Spaces; Rank 1; Small World Graphs
12. Graphs, Networks, Incidence Matrices
13. Quiz 1 Review
14. Orthogonal Vectors and Subspaces
15. Projections onto Subspaces
16. Projection Matrices and Least Squares
Lec 17 | MIT 18.06 Linear Algebra, Spring 2005
18. Properties of Determinants
19. Determinant Formulas and Cofactors
20. Cramer's Rule, Inverse Matrix, and Volume
Lec 21 | MIT 18.06 Linear Algebra, Spring 2005
22. Diagonalization and Powers of A
23. Differential Equations and exp(At)
Lec 24 | MIT 18.06 Linear Algebra, Spring 2005
Lec 24b | MIT 18.06 Linear Algebra, Spring 2005
Lec 25 | MIT 18.06 Linear Algebra, Spring 2005
26. Complex Matrices; Fast Fourier Transform
27. Positive Definite Matrices and Minima
Lec 28 | MIT 18.06 Linear Algebra, Spring 2005
Lec 29 | MIT 18.06 Linear Algebra, Spring 2005
30. Linear Transformations and Their Matrices
Lec 31 | MIT 18.06 Linear Algebra, Spring 2005
32. Quiz 3 Review
33. Left and Right Inverses; Pseudoinverse
34. Final Course Review