Math 2111 (Linear Algebra)
Practise Problems and Written Assignments to be turned in
Spring Semester 2011
| Chapt. | Section | Pages | Practise Problems | * Problems to be written up and turned in | &dagger Due date |
|---|---|---|---|---|---|
| 1 | 1.1 | 8-9 | #1,2,3,4,5, 7,8,10,11,12,13,14,15, 16,19,22. | #2,4,7,15,16,22. | Fri, Jan 21 |
| 1 | 1.2 | 18-19 | #1,4,7,8,9,11,12,13,19. | #4,8,12,13,19. | Mon, Jan 24 |
| 1 | 1.3 | 30-34 | #1,8,11,13,14,15,17,23,25,28,31,33,37,43,49,51,52. | #8,13,17,23,28,33,37(b),43(e),49,47. | Wed, Jan 26 |
| 1 | 1.4 | 40-41 | # 3,7,8,11,12,15,22,27,30,34,36. | #7,12,15,22,27,34,36. | Fri, Jan 28 |
| 1 | 1.5 | 52-55 | #9,10,16,17,19,22,27,28,30,31,33,34,42,43,66,67 (use Mathematica for #66,67) | # 9,16,17,22,28,30,34,67 (use mathematica on 67.) | Wed, Feb 2 |
| 1 | 1.6 | 62-63 | #2,4,7,8,12,14,15,16,20. | #4,12,14,15(a),16(a),20(c). | Fri, Feb 4 |
| 2 | 2.1 | 94-95 | #1,2,4,5,8. | #1,2(a),4,8. | Mon, Feb 7 |
| 2 | 2.2 | 113-115 | #6,7,8,11,14,16,19,26,29,31. | #6(b), 8(b), 11,14,26,29(b), 31. | Wed Feb 9 |
| 2 | 2.3 | 124-126 | #3,4,5,7,8,9,14, 17,19, 22,29. | #4,8,14,17,19,22,29. | Mon Feb 14 |
| 2 | 2.4 | 129-130 | #3,7,8,10,11. | #3(a,b,d),7,11. | Wed Feb 16 |
| 3 | 3.1 | 145-146 | #1,2,3,4,5,6,8,9,10,11,13,15. | #1,3,13,15. | Mon Feb 21 |
| 3 | 3.2 | 154-156 | #1,2,3,5,6,7,10,11,14,15,23,24,25,27,30,31,31,32,34. | #1(d,e),3,5,10,11,15,27, 30,34. | Wed Feb 23 |
| 4 | 4.1 | 187-188 | #1,2,4,6,7,9,11,13,14,17,18,19. | #6,7(b),11(a), 13(d), 14(c),17. | Fri Feb 25 |
| 4 | 4.2 | 196-197 | #2,3,8,9,11,12,13,15,17,18,20,22. | #2,8, 12 ( very important ); 13,18,20. | Wed Mar 2 |
| 4 | 4.3 | 205-208 | #2,4,6,8,9,14,15,17,19,28,29,30,34. | #2,6(a,d),14,15(a,b),17,19(a,e),34. | Mon Mar 7 |
| 4 | 4.4 | 215-216 | #1,2,3, 4,5,6,7, 9, 10, 11, 13, 14. | #3(b,c); 4(b,c); 9,11,14. | Wed Mar 9 |
| 4 | 4.5 | 226-228 | #4,9,10,13,14,15,17,19,20,21,22,23,26. | #9, 13, 15(b); 17,20,23. | Fri Mar 11 |
| 4 | 4.6 | 242-244 | #2,3,5,6,8,9,12,13,15,19,21,22,23,28,47. | #2(c,d); 8,9,13,15,19(c); 21,28(b). | Mon Mar 21 |
| 4 | 4.7 | 251-252 | #1,5,7,12,15,16,19,20,21,22,23. | #1,7,12,15,16,22,23. | Wed Mar 23 |
| 4 | 4.8 | 267-278 | #1,4,5,6,7,10,12,15,16,17. | #1,4,10,12,16,17. | Wed Mar 30 |
| 4 | 4.9 | 282-285 | #1,2,3,4,6,8,9,13,25,35,36,39. | # 2,6,8,13(b);25(a); 36,39. | Mon Apr 4 |
| 5 | 5.1 | 297-299 | #2,3,5,6,8,10,17,18,24,25,26,36. | #2(c),6(a),8,18,26,36. | Wed Apr 6 |
| 5 | 5.3 | 317-319 | #7,8,9,11,15,19,20,23,27,28,30,32,41. | #7(d,e),8(c),11(b),15(c),19,23,27(a),41. | Mon Apr 11 |
| 5 | 5.4 | 329-331 | #1,2,3,4,6,7,8,9,11,13,18,22,26,28,35. | #2,8,9,13,18,28,35. | Wed Apr 13 |
| 5 | 5.5 | 348-349 | #1,3,4,5,9,10,11,12,13,15,19,20,25,29. | #4,5,9,11(a),15,20,25,29. | Fri Apr 15 |
| 6 | 6.1 | 372-375 | #2,3,6,7,8,9,11,13,15,16,25,32,38.( textbook correction for problem 32 will be given in class.) | #2,6,11(c); 13, 15, 25, 32, 38. | Wed Apr 20 |
| 6 | 6.2 | 387-389 | #1,3,4,5,6,7,8,9,11,17,19,20,26,27,30. | #4,5,6,17,19,20,26. | Wed Apr 27 |
| 6 | 6.3 | 397-399 | #1,3,5,7,8,10,13,18,19. | #3,10,13,19. |
Fri Apr 29
|
| 7 | 7.1 | 450-451 | #3,7,8,9,10,13,15,17,21,25,27,30. | #3,7(a,b);13,15,17,25,27,30(c). (@: not due but must know for final.) |
@; |
| 7 | 7.2 | 461-462 | #5,7,9,11,13,17,19. | #5,7,9,11,19; (@: not due but must know for final.) |
@; |
| 7 | 7.3 (if time permits..) | 475-477 | #1,3,4,7,9,10,11,15,17,21,23,25. | #3,7,9(a),11,17,23. | |
| 3 | 3.3 & 3.4 (if time permits..) | 164 & 169 | (3.3) #1,2,4,6,13,15; (3.4) #3,7. | (3.3) #2(b),4(b),15; (3.4) #3,7(a). | |
| 6 | 6.5 ( if time permits..) | 413-414 | #1,5,6,7,8,9,11. | #5,6,11. | |
Please note the following guidelines:
- * When a problem calls for graphical or numerical approaches, you are to use Mathematica and any of the available Linear Algebra Toolkit on your course's web site. By using mathematica, you get to strengthen or practise using a software that you are already familiar with from Calculus.
- &dagger Due dates will be announced in class as we go.
- All work must be shown on every problem that you turned in; you need to show the mathematical steps from the beginning to the end. If you would like to earn partial credits from the TA, you need to explain how you arrive at the answer - explain verbally, if you have to.
- When a problem asks you to VERIFY a few properties, then all you have to do is to show that the properties are true for that particular or specific example.
- When a problem asks you to PROVE or SHOW
some statement is true for say, some type of matrices,
then you need to argue that the statement is true for ALL matrices
of that type, and NOT just show the statement is true
for ONE example of matrix of that type.
Appendix C in your text gives a short introduction to the concepts of mathematical logic and proofs.