Physics 227 HW VI 1 Autumn 2008
Physics 227 - Autumn 2008
HW VI
Due Friday 11/7/08
Except as noted, all problems are in the class text, Boas.
Example problems: Not to be turned in – solutions can be found in the back of the
text (also check for solutions on our web page, Lecture 8 Appendix B).
§3.2: 9, 17
§3.3: 12, 16
§3.8: 25
§3.11: 5, 12, 15, 22
§3.12: 6
Assigned problems: To be turned in. Problems A and B below along with those
assigned in Boas below will be graded. All graded problems are worth 5 points
each.
§3.2: 18 (Check your results using Mathematica)
§3.3: 15 (Check your results using Mathematica)
§3.8: 8
§3.11: 14, 19 (Check your results using Mathematica for both)
§3.11: 34
§3.12: 10
A. (5 points) Consider the matrix
0
0 0 ,
ab
M a b
b b a b
where a and b are variables.
a) What are the conditions on a and b so that
1
M
exits?
b) Compute the eigenvalues of M.
