Final Exam Topics

Vector Spaces Handout

Section 1: Any of the Examples or Problems.
Section 2: Any of the quick facts.
Section 3: Know how to apply the Subspace Theorem.

Chapter 1:
Theorems 1.5, 1.8, 1.9, 1.11.
Any assigned Exercises.

Chapter 2:
Theorems 2.1, 2.2, 2.4, 2.5
Any assigned Exercises.

Chapter 3: 
We used my notes for this. Be able to solve simple 
systems of equations.

Determinants handout

Be able to prove any of the properties for 3x3 matrices.
Be able to use the properies to effiecently compute determinants.

Chapter 5

Theorems: 5.2, 5.5, 5.6, 5.21
Any assigned Exerices.

Be able to find eigenvectors and eigenvalues. Be able to solve
systems of diff eqs. Know the Cayley-Hamilton Theorem.