## Chapter 8 Take Home Exam

#### Instructions:

1. Write only on the front of the paper.
2. Write the problem number (1-20) from this exam, as well as the section and problem number from the book before starting each problem.
3. Show all work. Be generous with the spacing. Don't try to cram the entire test onto one page. No credit will be given for problems without work.
5. Problems will be marked right or wrong.
6. You may use Derive. If you do, include a printout (TPPE). (Be sure to NETBOOT first)
7. Staple the papers together with this sheet on top.
1. 8.1.62
2. 8.1.64
3. 8.2.42
4. 8.2.44
5. 8.3.42
6. 8.3.44
7. 8.3.46
8. 8.4.38
9. 8.4.40
10. 8.4.44
11. 8.4.50
12. 8.5.38
13. 8.5.40
14. 8.6.26
15. 8.6.34
16. 8.6.38
17. 8.6.44
18. 8.6.50
19. 8.6.54
20. The adjoint of a square matrix A (Adj A) is defined to be the transpose of the matrix of cofactors. Let the matrix defined in problem 8.4.40 on page 520 be matrix A. Find Adj A. Verify that (Adj A) A = A (Adj A) = |A| I. (note, you found |A| in problem 9) (hint, look at the second utility help screen in Derive)