Reading Guides for Math 204
Readings for Math 204 are from the textbook Linear Algebra, fourth edition, by Jim Hefferon. My goal here is to pull out important points from the reading and give my perspective on them, as well as to give some additional information and examples in some cases. I might occasionally record videos of short lectures and include links to them in the posts. I hope to post two or three of these "reading guides" per week throughout the semester. As the semester gets going and things get hectic, the length of the posts will probably decrease. If the class goes remote, the posts will be an important resource for the course, and their lengths should increase—and I will include more videos.
- 01. Row Operations and Gauss's Method
- 02. Using LaTeX for Homework
- 03. Vectors in $\R^n$
- 04. Linear Geometry and Linear Systems
- 05. Homogeneous and Nonhomogeneous Systems
- 06. Reduced Echelon Form and Row Equivalence
- 07. Topic: Accuracy of Computation
- 08. Vector Spaces
- 09. Subspaces, spanning sets, and linear independence
- 10. Bases and Dimension
- 11. Matrix Rank
- 12. Linear Maps: Isomorphisms and Homomorphisms
- 13. Matrices and Linear Maps from $\R^n$ to $\R^m$
- 14. Representing General Homomorphisms
- 15. Change of Basis
- 16. Affine Transformations
- 17. The Determinant
- 18. Complex Numbers and Complex Vector Spaces
- 19. Eigenvalues and Eigenvectors