# 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 *BD*^{T}),
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 **Q**^{H}**Q** = **I**), 12-14,
18, 20, 23, 24

This page maintained by:
Thomas L. Scofield

Department of Mathematics and Statistics,
Calvin College

Last Modified:
Thursday, 17-May-2018 16:22:38 EDT