Homework problems. (All problems are from Howard Anton's Elementary Linear Algebra (10th ed.).)

3.1: 1, 2, 3c-f, 6, 7, 9, 11, 13d, 15f, 21, 23, 24, 26 (also redo 26 using (0,3,-1) in place of (0,3,1)), 32, 33, 36e, 37b, ALL True-False Exercises

3.2: 1a,c, 2c, 3a,b, 5a,c, 7, 9, 11a, 13a, 15, 17, 18, 20b, 22, 23c, 27, 30c, 33, 34, ALL True-False Exercises

3.3: 1, 3, 5-7, 9, 11, 12, 13, 14, 16, 17, 19, 21, 24, 25, ALL True-False Exercises

3.3: 29, 31, 33, 36, 37, 41-43, 45, 46

3.4: 1, 3, 4, 6, 7, 9, 13, 15, True-False (a)-(c)

3.5: 1, 3, 6, 7, 10, 11, 13, 15, 17, 20, 22, 25, 29-31, 34-36, 40a, ALL True-False Exercises

1.1: 1-7, 9, 11, 13, 15-17, ALL True-False Exercises

1.2: 1-3, 5, 7, 8, 9, 13-17, 19, 24-31, 33, 36, 37, 39-43, ALL True-False Exercises

1.3: 1, 3, 7, 10, 11, 13a, 15-17, 19, 21, 22, 24-30, ALL True-False Exercises

1.4: 1, 3, 4, 7-10, 16, 18, 24, 25, 27-30, 32, 33, 35, 50, 52, 54, ALL True-False Exercises

1.5: 1-3, 5, 7, 9, 13, 20, 25-27, 29, 31, 33, 35, 37, 40-43, ALL True-False Exercises

1.6: 2, 3, 8, 9, 15, 18, 19, 21-24, ALL True-False Exercises

1.7: 2-6, 8, 10, 13-25, 27, 32-38, 42, 43, ALL True-False Exercises

2.1: 1, 3, 5, 15-17, 19, 21, 23, 26-34, 37, 38, 40, ALL True-False Exercises

2.2: 2, 5-10, 13, 17, 18, 20-23, 28, 29, 31, 33-35, ALL True-False Exercises

2.3: 1, 5, 8-10, 15-17, 20, 24, 25, 27, 30, 31, 34, 35a,d, 36, 38, 39, ALL True-False Exercises

Chap. 5

5.1: 1-4 (Also find eigenvectors corresponding to any real eigenvalues in prob. 4.)

Appendix B

1. Let $z = \sqrt{3} - i$.

(a) Compute $|z|$.

(b) Convert $z$ to exponential form.

(c) Find $z^{10}$. (Express your answer in rectangular form.)

2. Find all complex cube roots of $-4\sqrt{2} + 4\sqrt{2} i$.