1. Geometric Vectors
2. Bases etc.
3. Dot Product
4. Cross Product
4. Lines and Planes
5. Some extra notes on solving linear equations
6. Applications to Spanning
7. Subspaces
8. Inverse of a matrix
9. Inverse of a linear transformation
10. Determinants
Linear Systems and Matrices
Elementary Matrices and Inverse
Determinants
2- and 3-Space
Dot Product
Cross Product
Planes and Lines in 3-Space
Euclidean Vector Spaces
Linear Transformations
General vector Spaces + Independence