Extra Credit Offer: If you find an error in any handout, let me know. If you are the first to report it, you will get some extra credit on quizzes. This includes errors in spelling and grammar, but mathematical errors will be worth more.
Important: Expectations for group work and writing.
A Concrete Problem Worked Abstractly: Angles in a Tetrahedron using a Coordinate-Free Approach
Comments on the Gram-Schmidt Process and ProjectionsProperties Equivalent to Invertibility
Twenty-one things about a matrix that are equivalent to
invertibility.
Linear Functions, Independence, and
Spanning
Some things you should be able to prove.
Bases, Coordinates, Linear Maps, and
Matrices
What happens to coordinates and the matrix of a linear
transformation
when you change bases.
Similar to Section 6.5 of Messer, and Sections 5.3 and 5.4 of
Schneider.
A Theorem on Column Spaces, Supplement to Section 6.6 of Messer
The Principle of Mathematical Induction
Uses of Eigenvectors and Eigenvalues