You should also use the list below to guide your reading of the textbook. You are required to read each section before it is covered in class. We will cover the sections in order.
The odd numbered exercises have answers at the back of the text and solutions in the solutions manual.
Updates to the list below since the beginning of the term are indicated in red.
| Section | Exercises |
|---|---|
| Section 1.1 | 3, 5, 7, 10, 11, 13, 15, 16, 17, 21, D9 |
| Section 1.2 | 3, 9, 19, 23, 25, 27, D7, D9; for D7, d(u,v) means the length of u - v |
| Section 1.3 | 5, 7, 9, 11, 13, 17, 21, 23, 25, 33, D5 |
| Section 2.1 | 1, 3, 9, 13, 18, 21, 25 |
| Section 2.2 | 1, 5, 7, 8, 9, 11, 12, 13, 23, 25, 27, 33, 43, 45, D5, D6, D7, D8; do enough of 10, 14, 24, 26, 28 to be completely comfortable |
| Section 2.3 | not covered |
| Section 3.1 | 3, 5, 7, 11, 15, 17(a), 19, 23, D5, D9 |
| Section 3.2 | 1, 7, 9, 15(a), 17, 21, 24, 25, 32, D5 |
| Section 3.3 | 1, 3, 5, 7(a), 11, 21, 23, 27, D5 |
| Section 3.4 | 3, 5, 9, 13, 15, 19, 21, 23, D6 |
| Section 3.5 | 1,
3, 7, 11, 12, 15, 17(a,b), D1, D4(except (c)) (skip p. 139 and top half of p. 140) |
| Section 3.6 | 1, 3(a,b), 6, 7, 11, 15,
23, D11 (skip inverting I - A) |
| Section 3.7 | not covered |
| Section 3.8 | not covered |
| Section 4.1 | 1, 5, 9, 13, 19, 21, 27, 29, 32 |
| Section 4.2 | 3, 7(a), 11, 13, 15, 22, 23, 25, 27 |
| Section 4.3 | 19, 21, 23,
29, 33,
35, 37, 45,
D3, D4 (skip: adj(A), formula for A-1, Cramer's Rule, 4.3.6, polynomial interpolation, Vandermonde determinant) |
| Section 4.4 | 1, 3, 4, 5, 7, 9, 11, 13, 14, 17, 19, D1, D4, D7(a,b,c), D8 |
| Chapter 5 | not covered |
| Section 6.1 | 3, 5, 9, 10, 17, 19, 23, 29 |
| Section 6.2 | 1, 3, 5, 9, 11, 12, 15, 17 (skip pages 288-293) |
| Section 6.3 | 1, 3, 5, 7, 9, 11, 13, 15, 17, D1 |
| Section 6.4 | 1, 3, 5, 13, 15, 17, 19, 23(a), 23(b), 27, D1 |
| Section 6.5 | not covered |
| Section 7.1 | 1, 3, 5(b), 7, 8, 9, D3, D4 |
| Section 7.2 | 1, 3, 5(a), 7, 9, 13, 15, 17, D1 |
| Section 7.3 | 1, 3, 6, 7, 9, 11, 17, 21, 29, 31, D2 |
| Section 7.4 | 2, 3, 7, 9, 11, 19, D1, D2; for a challenge: 24; (skip pages 355-357) |
| Section 7.5 | 1, 3, 5, 7, 9, 13, D4 (except D4(e)); (skip pages 365-366) |
| Section 7.6 | 1, 3, 7, 9, 13, 15(except (d)), D3 (skip Algorithm 2, Example 3, Theorems 7.6.4 and 7.6.5) |
| Section 7.7 | 1, 3, 5, 7, 9, 11, 13, 15, 17 (skip Strang diagrams, 7.7.7, 7.7.8) |
| Section 7.8 | 1, 5, 9, D1 |
| Section 7.9 | 1(b,c), 3(b,c), 5, 7(b), 17, 23, 35, D3 |
| Section 7.10 | not covered |
| Section 7.11 | 1, 3, 7, 9, 13, 17, D2 |
| Section 8.1 | 1, 3, 5, 7, 9, 13, 15, 17, 21, 27, D4 |
| Section 8.2 | 1, 3, 5, 7, 9, 13, 15, 19, 21, D2, D3, D4 |
| Section 8.3 | not covered |
For the 2008 midterm, question 9 should say that det(A) = +4, not -4.
For some questions on these midterms, you need to know that a collection of vectors is called a basis for a subspace if it spans that subspace and is a linearly independent set.
We don't have solutions for these past exams, but here are the answers to the true/false questions:
November 2005, Q16: F T T F T F T T T
March 2006, Q17: T F F T F T T F F T
March 2008, Q11: T T T F F F T
We don't have solutions for these past exams, but here are the answers to the true/false questions:
April 2005, Q11: T T F F skip skip F F T T ((e) and (f) not
covered)
December 2005, Q12: T T F T T F T T T F