# Suggested problems from Introduction to Linear Algebra, 5th Ed.

#### Chapter 1

• 1.1: Exercises 15-19, 20-25 (at least some of these are relevant for computer graphics)
• 1.2: Exercises 11, 21, 27, 29, 30
• 1.3: None selected

#### Chapter 2

• 2.1: Exercises 4, 13, 15-18, 20, 22, 35
• 2.2: Exercises 5, 6, 11, 19
• 2.3: Exercise 23
• 2.4: Exercises 6, 12-15, 17, 20, 21, 26, 27, 31, 32, 38
• 2.5: Exercises 1, 2, 7, 8, 12, 25, 29, 39, 43
• 2.6: Exercises 1-4, 7, 11, 16, 17, 23
• 2.7: Exercises 2, 6, 9, 13, 16, 19, 20, 26, 29 or 30/31, 37-39

#### Chapter 3

• 3.1: Exercises 1, 3, 5-7, 10, 12, 13, 15, 16, 20, 23-26
• 3.2: Exercises 5, 10, 12, 13, 15, 17, 22, 32, 33, 39, 41, 49, 50
• 3.3: Exercises 1, 2, 7, 10, 11, 14, 16, 17, 19, 21, 25, 26, 27, 30, 31, 33, 34
• 3.4: Exercises 1, 2, 6, 8-10, 11, 13, 15, 16, 19, 22, 24, 26, 31, 34
• 3.5: Exercises 1, 4-7, 10-13, 15, 18/19, 21, 23, 24, (27 and 28 look interesting)

#### Chapter 4

• 4.1: Exercises 2-4, 5 and 6 (compare number 6 with 5(a)), 7 (read it), 10, 12, 13, 17-24, 26
• 4.2: Exercises 2, 3, 5, 7-9, 11-13, 18, 19, 21, 24, 26, 31
• 4.3: Exercises 1-3, 5-11, 12-14 (if you want some insight between statistics and least-squares solutions), 18, 19, 20, 21, 26, 28
• 4.4: Exercises 2, 3, 4(b), 6-10, 12, 14, 15, 18, 22, 24, 30, 32

#### Chapter 5

• 5.1: Exercises 4, 10-13, 16, 17, 20, 24, 28, 29, 34
• 5.2: Exercises 1, 5, 6 (the terms mentioned are the ones in the BIG FORMULA, Equation (8) on p. 261), 7, 11 (here C is the cofactor matrix of A, and D is the cofactor matrix of B; instead of finding AC, find BDT), 16, 20, 21, 23, 24, 30, 35
• 5.3: Exercises 5, 8, 16-18, 23, 24, 26-28, 31, 32, 34-36

#### Chapter 6

• 6.1: Exercises 1-3, 5-8, 10-13, 16, 19, 21, 24-26, 29, 30, 32, 35, 36
• 6.2: Exercises 1-3, 5, 9, 11-13, 15, 18, 20, 21, 27-29, 31, 33, 34, 37, 38
• 6.3: Exercises 1, 3-5, 7, 8, 15(b), 19, 21-23, 26, 27, 31
• 6.4: Exercises 2, 3, 5-7, 10, 13, 22-25,
• 6.5: Exercises 2-7, 11, 14, 16-18, 20, 22-25, 28, 29, 33, 35

#### Chapter 7

• 7.1: Exercises 2, 3, 6
• 7.2: Exercises 2, 4, 5, 8-9, 10, 13, 15-18, 23, 24
• 7.3: Exercises 3, 4
• 7.4: Exercises 1-4, 5-9, 10-14, 15, 17, 18, 21

#### Chapter 8

• 8.1: Exercises 3, 4, 6-10, 12, 22, 26(?), 27-29
• 8.2: Exercises 1, 2, 5, 6, 9, 10, 12, 14-17, 20, 24, 26, 27, 29, 30, 32, 34
• 8.3: Exercises TBD

#### Chapter 9

• 9.1: Exercises 1-3, 5, 7, 9, 10, 12, 13
• 9.2: Exercises 1-6, 8 (note, a unitary matrix is a complex matrix Q satisfying QHQ = I), 12-14, 18, 20, 23, 24