Homework Assignments Math 544

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.