Math 4330, Honors Linear Algebra, Course Notes

Fall 2019, Cornell University

  1. Row Reduction
  2. Fields
  3. Definitions
  4. Vector Spaces
  5. SubObjects
  6. SumProducts
  7. Bases
  8. Equivalance Relations
  9. QuotientSpaces
  10. Univeral Mapping Properties
  11. Zorn Lemma
  12. Matrix of Linear Transformation
  13. Dual Spaces
  14. Exact Sequences
  15. Rings and Factorizations
  16. Modules
  17. Modules over PID
  18. Tensor Products
  19. Exterior Products and Determinants