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| Chapter | Practice problems* | Problems to turn in | Due date |
|---|---|---|---|
| 1 | Your choice | 1.48-1.51: part (b) of each;
Write a coherent proof of Theorem 1.4. | T 9/12 |
| 1 | 1.55, 1.56, 1.59 | F 9/15 | |
| 2 | 2.72, 2.74
Law of Cosines picture | T 9/19 | |
| 4 | 4.1, 4.5, 4.7, 4.10
If A is a 2x2 matrix with first row 2, 3 and second row 4, 3, and if p(x) = x^2 - 5x - 6, calculate p(A). | ||
| 4 | 4.34, 4.20, 4.21, 4.22, 4.50
4.61-4.65 | 4.97, 4.98, 4.107, 4.109, 4.111 | |
| 5 | 5.3, 5.4, 5.5 | Handout problems:
1. Prove K = {0,1} is a field under mod 2 addition and multiplication. 2. Prove V = KxK is a vector space over K under componentwise vector addition and scalar multiplication. 5.87 | 10/17 |
| 5 | 5.30, 5.37, 5.39 | 5.91, 5.98, 5.105, 5.112
5.120 & find row, column, and null spaces | F 10/27 |
| 6 | 6.60, 6.62, 6.63, 6.68, 6.69 | F 11/3 | |
| 7 | 7.1, 7.4 | 7.54, 7.57, 7.58, 7.63, 7.64,
7.65, 7.66, 7.67, 7.71 | F 11/17 |
| 8 | 8.27 | 8.40, 8.45, 8.46, 8.54, 8.66, 8.67 | M 12/4 |
| 9 | 9.12, 9.22, 9.29, 9.65 | Prove Theorem 9.5;
9.54, 9.55, 9.58, 9.69, 9.86 | F 12/8 |
* These are merely some suggested problems. You should work as many problems as necessary to master the ideas.