- Introduction to Vectors Part 1
- Introduction to Vectors Part 2
- Solving Linear Equations Part 1
- Solving Linear Equations Part 2
- Matrix Operations
- Matrix Inverses
- LU Decompositions
- Transpose
- Vector Spaces
- Vector Spaces Part 2
- October 12 Problem Solution
- Bases and Dimension
- Basis and Dimension of the Column Space, Row Space, and Null Space of a Matrix
- Rank, Row-Reduced Form, and Solutions to Ax=b
- Orthogonal Complements and Projections
- Determinants
- Diagonalizing a Matrix
- Eigenvalues and Eigenvectors
- Linear Transformations
- Jordan Canonical Form