Gilbert Strang

Lecture 01: The Geometry of Linear Equations

Lecture 02: Elimination with Matrices

Lecture 03: Multiplication and Inverse Matrices

Lecture 06: Column Space and Nullspace

Lecture 05: Transposes, Permutations, Spaces R^n

Lecture 04: Factorization into A = LU

Lecture 09: Independence, Basis, and Dimension

Lecture 07: Solving Ax = 0: Pivot Variables, Special Solutions

Lecture 10: The Four Fundamental Subspaces

Lecture 08: Solving Ax = b: Row Reduced Form R