Please ignore all "least squares" and "complex numbers" problems (Sections 5.5 and 6.5 in the text). But I will ask you about the Gram-Schmidt process (Section 6.4).
Complex numbers will not be on this exam, nor on the final. The least squares methods will be on the final exam.
Practice Exam 1 (Tabrizian) (also ignore 8) Answer Key
Practice Exam 2 (Vojta) Answer Key
Practice Exam 3 (Bergman) (also ignore 2c) Answer Key
Practice Exam 4 (Tataru) Answer Key
List of definitions which may appear on the midterm:
Do not memorize definitions without understanding them!
Definition of coordinates, p.234
Definition of dimension, p.245
Definition of rank, p.253
Definition of change-of-coordinate matrix, p.261
Definition of eigenvalues and eigenvectors, p.271
Definition of the characteristic equation, p.281
Definition of similarity (p. 282) and of diagonalizability (p. 288)
Defintion of a matrix relative to coordinates, p.296
Definitions of length, distance, orthogonality, Section 6.1
Definition of orthogonal projection, p.326
List of proofs which may appear on the midterm:
Chapter 4, Theorem 7 (proof on p.234)
Chapter 4, Theorem 8 (proof on p.238)
Chapter 4, Theorems 9,10 (proofs on pp.244,245)
Chapter 4, Theorem 14 (proof on 253 or a different presentation in lecture)
Chapter 5, Theorem 2 (proof on p.275)
Chapter 5, Theorem 4 (proof on p.283 or a different presentation in lecture)
Chapter 5, Theorem 5 (proof on p.289)