The topics at the end of the semester (null spaces, determinants, eigenvalues and eigenvectors) are not in our textbook. This is a resource for those topics.

Some free online linear algebra textbooks.

• A First Course in Linear Algebra by Robert A. Beezer

• Linear Algebra by David Cherney, Tom Denton, Rohit Thomas, and Andrew Waldron

• Linear Algebra by Jim Hefferon (It really is free. You have to move the slider to zero and check out with a free purchase.)

Jill’s notes on these topics.

• Motivating example

• Null Spaces

• Determinants
  • The 2-by-2 case
  • The general case
• Eigenvalues and Eigenvectors
  • Intro