Date Assigned | Date Due | Page:Problems |
Jan 14 | Jan 16 | pg 7: 1, 2, 3, 5; pg 10: 2 |
Jan 16 | Jan 21 | pg 14: 3, 4; pg 17: 5; pg 19: 1, 2, 5, 6, 8 |
Jan 21 | Jan 23 | 1.6: 1, 2, 3, 4, 8 |
Jan 23 | Jan 28 | 1.6: 10, 16, 17, 18; 2.1: 3, 4 |
Jan 28 | Jan 30 | 2.1: 5, 7 + prove the claims of Examples, 2.1.6 and 2.1.7 |
Jan 30 | Feb 4 | 2.2: 2, 3, 4, 6 |
Feb 4 | Feb 6 | 2.2: 2, 3, 4, 6 (as before) and 2.3:3 |
Feb 6 | Feb 11 | 2.3: 4, 8, 11, 12, 13 |
Feb 11 | Feb 13 | 2.3: 4, 8, 11, 12, 13 (as before) and 2.3: 20; 3.1: 1, 4 |
Feb 13 | Feb 18 | 3.2: 1, 3, 5; 3.3: 1, 3, 4, 6, 9 |
Feb 18 | Feb 20 | 3.3:8; `3.4:1, 2, 4 |
Mar 3 | Mar 5 | 3.5: 1 (shorter proof uses no calculation involving systems), 5, 6, 10, 11 |
Mar 5 | Mar 24 | 3.5: 23; 3.6: 1, 3 (you can use problem 2, which will be done in class), 5 (again see problem 2) |
Mar 5 | Mar 26 | 3.6: 15 (Modefied hint:See Exercise 3.6:5), 3.7:1, 2, 6, 7 |
Mar 5 | Mar 31 | 4.1:1; 4.2: 1, 3, 4 |
Mar 31 | Apr 2 | 3.8: 2,3,7, 10 (Note you need to use Corollary 3.8.2 in all these problems. We proved this corollary as a consequence of Corollary 4.2.7) |
Apr 2 | April 7 | 4.2: 7, 8, 9, 10; 4.3:1 |
Apr 7 | April 9 | 4.3:2; 4.6;2; 4.7;1,2 |
Apr 9 | April 14 | 4.9:1, 2, plus addtional question: find bases of row and column space of coeffient matrices in the previous two problems |
Apr 21 | April 23 | 6.4:1,2,3, plus addtional question: find for problem 1(i) for each characteristic root t a corresponding eigen vector v, i.e., a non-zero solution v of (A-tI)v=0. |