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)
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