Chapters
1. Vectors |
2. Linear combinations, span and basis vectors |
3. Linear transformations and matrices |
4. Matrix multiplication as composition |
5. Three dimensional linear transformations |
6. The determinant |
7. Inverse matrices, column space and null space |
8. Nonsquare matrices as transformation between dimensions |
9. Dot products and duality |
10. Cross products |
11. Cross products in the light of linear transformations |
12. Cramer's rule, explained geometrically |
13. Change of basis |
14. Eigenvectors and eigenvalues |
15. A quick trick for computing eigenvalues |
16. Abstract vector spaces |