1. On complex numbers [pdf format]
2-3. Systems of linear equations [pdf format]
4. A bit of analytic geometry: straight lines, planes, etc [pdf format]
5. Homogeneous systems [pdf format]
6. Matrices [pdf format]
7. Matrices-cont. [pdf format]
8. Fields and vector spaces - basic definitions [pdf format]
9. More fields [pdf format]
10. Vector spaces - examples [pdf format]
11. Linear independence and all that [pdf format]
12. Subspaces; Row subspace and column subspace [pdf format]
13. Linear maps and their presentation with matrices [pdf format]
14. Kernel and image; operators for dim=2 [pdf format]
15. Direct sum, Hom, dual vector space [pdf format]
16. Quotient space; tensor product of vector spaces [pdf format]