Gil Strang's Final 18.06 Linear Algebra Lecture

Intro: A New Way to Start Linear Algebra

The Big Picture of Linear Algebra

Part 1: The Column Space of a Matrix

10. The Four Fundamental Subspaces

1. The Geometry of Linear Equations

An Interview with Gilbert Strang on Teaching Linear Algebra

15. Projections onto Subspaces

34. Final Course Review

2. Elimination with Matrices.

9. Independence, Basis, and Dimension

21. Eigenvalues and Eigenvectors

4. Factorization into A = LU

5. Transposes, Permutations, Spaces R^n

23. Differential Equations and exp(At)

3. Multiplication and Inverse Matrices

16. Projection Matrices and Least Squares

30. Linear Transformations and Their Matrices