Harvard University, fas   
Spring 2002   

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 4
2 1.3/ 1, 2, 4, 7, 12, 15, 18
solutions: 1 2 3 		Feb 6
3 1.4/ 2, 4, 5, 9, 11, 18, 19, 23
solutions: 1 2 		Feb 8
4 1.5/ 2, 3, 5b, 6abe, 7c, 10, 11, 13
solutions: 1 2 3 4 		Feb 11
5 1.6/ 2, 3, 5, 8, 14, 17, 21, 22
solutions: 1 2 3 		Feb 13
6 2.1/ 3, 5, 8, 13, 14, 15, 16
solutions: 1 2 		Feb 15
7 2.2/ 1, 2, 3, 5, 6, 12, 13
solutions: 1 2 3 4 		Feb 20
8 2.3/ 2, 3, 5, 7, 9, 14, 15, 16
solutions: 1 2 3 		Feb 22
9 2.4/ 1, 3abcd, 4, 6, 10, 12, 18, 25
solutions: 1 2 		Feb 27
10 3.1/ 2, 3, 4, 6, 7, 8, 10, 11
solutions: 1 2 		Mar 1
11 3.2/ 1abde, 2bc, 3, 4, 5ab, 6, 8
solutions: 1 2 		Mar 4
12 3.3/ 1ad, 2ad, 3ad, 4ad, 5ad, 6ad, 8, 9, 12, 13, 14, 16, 22
solutions: 1 2 3 		Mar 6
13 3.4/ 1ae, 2a, 3a, 4a, 7, 8a, 9, 11, 15, 20, 24
solutions: 1 2 3 4 		Mar 8
14 3.5/ 1a, 2a, 4b, 5b, 6b, 7a, 8b, 9ab, 10a, 11a, 14a, 17, 25, 29, 33, 39
solutions: 1 2 3 4 		Mar 11
15 4.1/ 3, 4, 5d, 9d, 11d, 15b, 16, 20, 21, 23
solutions: 1 2 		Mar 13
16 4.2/ 1, 3, 6d, 9, 11, 13, 17, 21
solutions: 1 2 		Mar 15
17 4.3/ 1, 4, 6ad, 8ad, 14, 16, 18ad, 20
solutions: 1 2 3 4 		Mar 18
18 7.1/ 1abc, 2abc, 4ab, 5ab, 10, 11, 14, 16, 20
solutions: 1 2 3 		Mar 22
19 7.2/ 8, 10, 12, 13, 19, 21
solutions: 1 2 3 		Mar 22
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 5
21 Supplemental/ Read the handouts and do the work indicated on the second page. 1 2
 April 10
22 11.18/ Read the section and do 1, 2, 3a and 4.
solutions: 1 2 3 		April 12
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 15
24 11.8/ Read the section and do 1, 3, 4 and 5.
For number 4 keep in mind that the optimal strategies for 2x2 payoff matrices are given by the formulas in theorem 11.8.2 ONLY WHEN the game is not strictly determined. (see the bottom of page 602 through example 2) solutions: 1 2 		April 17
25 Handout section 1/ Read the section and do 5, 9, 10, 12, 15, 25, 33 and 34.
solutions: 1 2 		April 22
26 Handout section 3/ Read the section and do 14, 17, 27, 35, 37, 49, 52 and 54.
solutions: 1 		April 24
27 Handout section 4/ Read the section and do 1, 2, 9, 10, 13, 20, 22, 24 and 30.
solutions: 1 2 3 		April 26
28 Handout section 6/ Read the section and do 4, 8, 11, 16, 19, 26, 28 and 34.
solutions: 1 2 3 		April 29
29 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 		May 1
30 Handout section 8/ Read the section and do 1, 3, 7, 10, and 21.
solutions: 1 2 		Not collected