Homework questions are assigned from the text and you will benefit greatly from working your way through them.

(Of course, you are welcome to work on more than these subsets if you like.)

The solutions to selected questions are at the end of the textbook.

Section 1.1: (pp. 6-10) A, B, 1, 2, 4, 6, 9, 10, 13, and, for a challenge, 28.

Section 1.2: (pp. 17-20) A, B, 1, 2, 3, 5, 7, 8, 13, and 29.

Section 2.1: (pp. 29-34) A, B, 1-4, 6-8, 10a, 11a, 14a, 14b, 15, 16, 17, 27, 28, 29, and, if you like computers, 30, 31, 32.

Section 2.2: (pp. 40-45) A, B, 1-9, 11, 12, 13, 15a, (trickier) 16, 18, 19 25

Section 2.3: (pp. 51-56) A, B, C, 1, 2, 3, 4, 5, 6, 9a), 10, 16, 19, 20, 23, 24, 25, 28.

Section 2.4: (pp. 62-70) B, (A, C very good but view as extra material) 1, 2, 3, 5, 6, 7, 8, 9 11, 14, 17a, 17b, 18a, 21, 24a, 26, 27 (important), 28.

Section 2.5: (pp. 77-83 ) A, B (optional---more for those with a math focus), 1, 2, 4, 5, 6, 7, 8, 11, 12, 15, 18, 22, 28, 29, 30.

Section 2.6: (pp. 91-96) 1, 2, 5, 6, 12, 15, 22, (25, 26, both harder). If you get along well with computers: 32, 33, 35; A and B are a good challenge.

Section 3.1: (pp. 116-121) A, B, 9-18 (very good), 19-29 (also very good), 1-8 (extra stuff on vector spaces).

Section 3.2: (pp. 129-133) A, B, (1-4), (5-8), 9, 10, 11, 18, 20, (21-24, a festival), 26, 27, 30, 31, 32, 33a.

Section 3.3: (pp. 139-144) A, B, 1, 2, 3, 4, 6, 12, 13, 15.

Section 3.4: (pp. 149-156) A, B, C, (1-8, full solution stuff, all good), 11, 13, 16, 17, 18, 22, (23-25), 26, 28, 29, 30, 33.

Section 2.7:
All about transposes and symmetric matrices:
(pp. 103-109) 1-7, 16-21, plus please examine the `transparent proof' on page 109 of why (AB)T = BTAT.

Section 3.5:
A, 1, 2, 3, 5, 11, 12, 16, 25, 26, 27, 28; also: B and C (tougher).

Section 3.6:
B, 1, 2, 4, 5, 6, 7, 8, 16, 17, 24.

Section 4.1:
A, B, 3, 4, 5, 11, 12, 13, 16, 17, 19, 21, 28, 29.

Section 4.2:
A, 1, 3, (5, 6, 7—a good set), 11, 13, 17 (important!), 19, (21, 22, 23 ,24—good thinking here), 27, 30 (curious and conceptual).

Section 4.3—Approximate Solutions:
A, B, (1, 2, 3, 5, 7, 9—all good), 12 (important), 17, 18.

Section 4.4—Orthogonality and the Gram-Schmidt Process:
(pp. 227-232) A (good example of why orthogonality matters), 1, 2, 3, 4, 6, 7 (good), 10b, 11 (good), 13, 15, 16, 18, 20, (33, 34: reflection matrices, slightly harder).

Section 6.1—Eigenstuff:
(pp. 282-288) A (read straight away), B (examine later), 2, 7, 8, 11 (tricksy), 13, 16, 17, 18 (good), 19, 20, 22, 28, 30.

Section 5.1—Determinants:
(pp. 239-244) A, B, 2, 3, 4, 7, 8a, 8b (harder and good), 9, (10, 11, 12, all good thinking questions), 13, 14, 15, (optional: any of 17-23), 24, 28 (true/false), 29 (good).