Linear Algebra
by Prof. Gilbert Strang
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Description
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. *Please note that Lecture 4 is unavailable in a higher quality format.
| Name | Description | Released | Price | ||
|---|---|---|---|---|---|
| 1 | VideoLecture 01: The Geometry of Linear Equations | -- | 7/18/07 | Free | View In iTunes |
| 2 | VideoLecture 02: Elimination with Matrices | -- | 7/18/07 | Free | View In iTunes |
| 3 | VideoLecture 03: Multiplication and Inverse Matrices | -- | 7/18/07 | Free | View In iTunes |
| 4 | VideoLecture 04: Factorization into A = LU | -- | 7/18/07 | Free | View In iTunes |
| 5 | VideoLecture 05: Transposes, Permutations, Spaces R^n | -- | 7/18/07 | Free | View In iTunes |
| 6 | VideoLecture 06: Column Space and Nullspace | -- | 7/18/07 | Free | View In iTunes |
| 7 | VideoLecture 07: Solving Ax = 0: Pivot Variables, Special Solutions | -- | 7/18/07 | Free | View In iTunes |
| 8 | VideoLecture 08: Solving Ax = b: Row Reduced Form R | -- | 7/18/07 | Free | View In iTunes |
| 9 | VideoLecture 09: Independence, Basis, and Dimension | -- | 7/18/07 | Free | View In iTunes |
| 10 | VideoLecture 10: The Four Fundamental Subspaces | -- | 7/18/07 | Free | View In iTunes |
| 11 | VideoLecture 11: Matrix Spaces; Rank 1; Small World Graphs | -- | 7/18/07 | Free | View In iTunes |
| 12 | VideoLecture 12: Graphs, Networks, Incidence Matrices | -- | 7/18/07 | Free | View In iTunes |
| 13 | VideoLecture 13: Quiz 1 Review | -- | 7/18/07 | Free | View In iTunes |
| 14 | VideoLecture 14: Orthogonal Vectors and Subspaces | -- | 7/18/07 | Free | View In iTunes |
| 15 | VideoLecture 15: Projections onto Subspaces | -- | 7/18/07 | Free | View In iTunes |
| 16 | VideoLecture 16: Projection Matrices and Least Squares | -- | 7/18/07 | Free | View In iTunes |
| 17 | VideoLecture 17: Orthogonal Matrices and Gram-Schmidt | -- | 7/18/07 | Free | View In iTunes |
| 18 | VideoLecture 18: Properties of Determinants | -- | 7/18/07 | Free | View In iTunes |
| 19 | VideoLecture 19: Determinant Formulas and Cofactors | -- | 7/18/07 | Free | View In iTunes |
| 20 | VideoLecture 20: Cramer's Rule, Inverse Matrix, and Volume | -- | 7/18/07 | Free | View In iTunes |
| 21 | VideoLecture 21: Eigenvalues and Eigenvectors | -- | 7/18/07 | Free | View In iTunes |
| 22 | VideoLecture 22: Diagonalization and Powers of A | -- | 7/18/07 | Free | View In iTunes |
| 23 | VideoLecture 23: Differential Equations and exp(At) | -- | 7/18/07 | Free | View In iTunes |
| 24 | VideoLecture 24: Markov Matrices; Fourier Series | -- | 7/18/07 | Free | View In iTunes |
| 25 | VideoLecture 24b: Quiz 2 Review | -- | 10/15/07 | Free | View In iTunes |
| 26 | VideoLecture 25: Symmetric Matrices and Positive Definiteness | -- | 7/18/07 | Free | View In iTunes |
| 27 | VideoLecture 26: Complex Matrices; Fast Fourier Transform | -- | 7/18/07 | Free | View In iTunes |
| 28 | VideoLecture 27: Positive Definite Matrices and Minima | -- | 7/18/07 | Free | View In iTunes |
| 29 | VideoLecture 28: Similar Matrices and Jordan Form | -- | 7/18/07 | Free | View In iTunes |
| 30 | VideoLecture 29: Singular Value Decomposition | -- | 7/19/07 | Free | View In iTunes |
| 31 | VideoLecture 30: Linear Transformations and Their Matrices | -- | 7/19/07 | Free | View In iTunes |
| 32 | VideoLecture 31: Change of Basis; Image Compression | -- | 7/19/07 | Free | View In iTunes |
| 33 | VideoLecture 32: Quiz 3 Review | -- | 7/19/07 | Free | View In iTunes |
| 34 | VideoLecture 33: Left and Right Inverses; Pseudoinverse | -- | 7/19/07 | Free | View In iTunes |
| 35 | VideoLecture 34: Final Course Review | -- | 7/19/07 | Free | View In iTunes |
| Total: 35 Episodes |
Customer Reviews
Amazing!!!!
Simple amazing. Dr. Strang really cares. He is not here to show off nor is he trying to dazzle you with flashy math theory. You really learn why and where things came from and you start to understand all the little math tricks that you have been doing all these years. Must watch!!!!!
I Love Gilbert Strang!
I have watched 15 of these lectures and I love them! They are so clear and they make linear algebra so easy to understand. They're not flashy, just Gilbet Strang and a chalkboard, but the content is great. Also, his treatment is focused on applications and understanding, this isn't a theory course full of proofs.
Really amazing
I had a _very_ good teacher for linear algebra - and still got a lot out of these. Strang is a national treasure, and I say that without a hint of irony. Crystal clear, with the kind of choice of emphasis you only get from lifetime's experience as a teacher and complete command of the subject. There is nothing wasted in these presentations. .
