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.