The complete course syllabus is here.

**Lecture room and meeting times:**254 Votey, Tuesday and Thursday, 12:30 pm to 1:45 pm

**Instructor:**Peter Dodds

**Office:**203 Lord House, 16 Colchester Avenue

**Office hours:**Tuesdays 11:00 am to 12:00 pm & 2:00 pm to 3:00 pm, Wednesday 10:00 am to 11:00 am

**Textbook:**"Introduction to Linear Algebra" (5th edition) by Johnson, Riess and Arnold.

**Homework:**

Homework does not count directly towards the final grade but

doing the assigned problems should improve your final grade (really).

**8/29/2006—**(Grouped questions are similar)

Section 1.1: (1, 3, 5), (11, 13), 15, 17, 21, (33, 35), 38, 42.

Section 1.2: (1, 7, 9), (11, 13, 15, 17, 19, 21), (23, 25, 27, 29), 37, 43, 45.

**8/31/2006—**

Section 1.3: 1—17 (odd numbers)

**9/5/2006—**

Section 1.3: (19, 21), 23, 25, 29 (you will want to use Matlab to carry out row reduction for this one), 33.

Section 1.4: 3, 7.

**9/7/2006—**

Section 1.5: (1, 3, 5), (7, 9, 11), (13, 19), (21, 23), (25, 27, 29), (31, 33, 35, 37, 39), (41, 43), 51.

**9/12/2006—**

Section 1.5: 53, 55, 59, 61 (for part i only), 65a, 65c.

Section 1.6: (1, 3, 5), (7, 9, 11), (13, 15, 17).

**9/14/2006—**

Section 1.6: (19, 21, 23, 25), 27 (harder), 29, 33 (35, 37), 41a, 42, 47, 48 (harder, at least read through), 49a, 50, (53, 55), (57, 59), 62a (done in class, try it yourself).

**9/19/2006—**

Section 1.7: (1, 3, 5, 7, 11, 13), 15 (do for questions 1, 3,..., 13), (16, 17, 19, 21, 22), (41, 43, 45), trickier ones: 49, 51, 53, 55.

Section 1.9: (1, 3), 5, (9, 11), (13, 15, 17, 19).

**10/03/2006—**

Section 3.1: (1,3,5,7,9,11), (13,15,17), (19,21), (23,25), (27,29).

Section 3.2: (1,3,5,7), (9,11,13,15,17), (18,19,20), (21,23,25), 27, 29, (31,33).

**10/05/2006—**

Section 3.3: (1, 3, 5, 7, 9, 11), (13, 15, 17, 19), 21a/b/c, (23, 25), (27, 29, 31, 33), 39, 45, 47, proof type questions: (50, 51, 52).

**10/12/2006—**

Section 3.4: (1, 3, 5, 7), 9a, 12, 18, 23, 25a, 26a, 27, 28, (33, 35), 36.

Section 3.5: (1, 3, 5), (7, 9), (11, 13), (15, 17), (21, 23, 25), 27a, 28, 29 (a good one), 33, 37, 39.

**10/17/2006—**

Section 3.6: 3, 5, 9, (13, 15).

**10/19/2006—**

Section 3.8: 1, 3, 7.

Section 3.9: (1, 5, 9). For Q1 and Q9, find a basis for the subspace W and form a matrix A from its columns. Then find a least squares solution to Ax = v.

**11/02/2006—**

Section 4.1: (1, 3, 5, 7, 9, 11), 17, 19.

**11/07/2006—**

Section 4.2: (1, 2, 3, 4, 5, 6), 7, (9, 11, 13, 15, 17, 18, 19), 21, 25 (use theorem 2, p 287), (27, 29), optional: 31, 32.

Section 4.4: (1, 3, 5, 7, 9, 11, 13), (proofs: 15, 16, 17).

**11/09/2006—**

Section 4.3: (1, 3, 5), (7, 9, 11), (13, 15, 17), (19, 21), 23, 27, (proof: 28).

Sections 6.2, 6.3: Bonus questions for calculating determinants using the cofactor formula and sneaky row operation methods; proceed with these if you want more. I can't blame you—this stuff is delicious.

Sections 6.4: (Cramer's Rule—useful for theory, hopeless for computation) (15, 17); try also 27 and 29.

**11/16/2006—**

As always, do at least a couple of each bracketed set.

Section 4.5: (1, 3, 5, 7, 9, 11), (13, 15, 17), 18, 20 (tricky), 21, 22, 27 (important), 28 (a good proof one).

Section 4.7: (1, 3, 5, 7, 9, 11), (13, 15, 17), 19, 25, (done in class), 27, 29, 30, 31, 43.

Section 4.8: 2, 8 (use diagonalization).

Also look at the supplementary and conceptural exercises at the end of chapter 4.