Harvard University, fas   
Spring 2003   

Linear Algebra and Multivariable Calculus


Homework


Homework is due at the beginning of class on the specified due date.

HW # Problems Due Date
1 1.1/ 2, 4, 5, 8
1.2/ 2, 4, 6, 10, 12, 17
solutions: 1 2 3 4 		Feb 3
2 1.3/ 1, 2, 4, 7, 12, 15, 18
solutions: 1 2 3 		Feb 5
3 1.4/ 2, 4, 5, 9, 11, 18, 19, 23
solutions: 1 2 		Feb 7
4 1.5/ 2, 3, 5b, 6abe, 7c, 10, 11, 13
solutions: 1 2 3 4 		Feb 10
5 1.6/ 2, 3, 5, 8, 14, 17, 21, 22
solutions: 1 2 3 		Feb 12
6 2.1/ 3, 5, 8, 13, 14, 15, 16
solutions: 1 2 		Feb 14
7 2.2/ 1, 2, 3, 5, 6, 12, 13
solutions: 1 2 3 4 		Feb 19
8 2.3/ 2, 3, 5, 7, 9, 12, 16
solutions: 1 2 3 		Feb 21
9 2.4/ 1, 3abcd, 4, 6, 10, 12, 18, 25
solutions: 1 2 		Feb 24
10 3.1/ 2, 3, 4, 6, 7, 8, 10, 11
solutions: 1 2 		Feb 28
11 3.2/ 1abde, 2bc, 3, 4, 5ab, 6, 8
solutions: 1 2 		March 3
12 3.3/ 1ad, 2ad, 3ad, 4ad, 5ad, 6ad, 8, 9, 12, 13, 14, 16, 22
solutions: 1 2 3 		March 5
13 3.4/ 1ae, 2a, 3a, 4a, 7, 8a, 9, 11, 15, 20, 24
solutions: 1 2 3 4 		March 7
14 3.5/ 1a, 2a, 4b, 5b, 6b, 7a, 8b, 9ab, 10a, 11a, 14a, 17, 25, 29, 33, 39
solutions: 1 2 3 4 		March 10
15 4.1/ 3, 4, 5d, 9d, 11d, 15b, 16, 20, 21, 23
solutions: 1 2 		March 12
16 4.2/ 1, 3, 6d, 9, 11, 13, 17, 21
solutions: 1 2 		March 14
17 4.3/ 1, 4, 6ad, 8ad, 14, 16, 18ad, 20
solutions: 1 2 3 4 		March 17
18 7.1/ 1abc, 2abc, 4ab, 5ab, 10, 11, 14, 16, 20
solutions: 1 2 3 		March 21
19 7.2/ 8, 10, 12, 13, 19, 21
solutions: 1 2 3 		March 31
20 9.3/ Read the section and do 1, 4 and 8. Note that 4 and 8 require slightly different matrices M (see example 3).
solutions: 1 		April 7
21 Supplemental/ Read the handouts and do the work indicated on the second page. 1 2
 April 9
22 11.18/ Read the section and do 1, 2, 3a and 4.
solutions: 1 2 3 		April 11
23 11.9/ Read the section and do 1, 3, 4 , 5 and 6.
For number 3 "one linearly independent price vector" means that the set of all price vectors can be described with one parameter. For number 5, please consult example 5.
solutions: 1 2 3 		April 14
24 Handout section 1/ Read the section and do 5, 9, 10, 12, 15, 25, 33 and 34.
solutions: 1 2 		April 18
25 Handout section 3/ Read the section and do 14, 17, 27, 35, 37, 49, 52 and 54.
solutions: 1 		April 21
26 Handout section 4/ Read the section and do 1, 2, 9, 10, 13, 20, 22, 24 and 30.
solutions: 1 2 3 		April 23
27 Handout section 6/ Read the section and do 4, 8, 11, 16, 19, 26, 28 and 34.
solutions: 1 2 3 		April 25
28 Handout section 7/ Read the section and do 6, 7, 12, 13, 25 (see example 7), 31 and 34 (see example 5 for 31 and 34).
solutions: 1 2 3 4 		April 28
29 Handout section 8/ Read the section and do 1, 3, 7, 10, and 21.
solutions: 1 2 		April 30