Lecture 12: Graphs, networks, incidence matrices

Lecture 11: Matrix spaces; rank 1; small world graphs

Lecture 10: The four fundamental subspaces

Lecture 8: Solving Ax = b: row reduced form R

Lecture 9: Independence, basis, and dimension

Lecture 7: Solving Ax = 0: pivot variables, special solutions

Lecture 6: Column space and nullspace

Lecture 4: Factorization into A = LU

Lecture 5: Transposes, permutations, spaces R^n

Lecture 3: Multiplication and inverse matrices

Lecture 2: Elimination with matrices

Lecture 1: The geometry of linear equations