Math 214 Assignment for Unit 10
Due: In class Wednesday April 8, 2015
Your report should include your work for each of these problems.
Part 10a: Eigenvalues
page 293 (section 6.1): # 3, 5, 6, 14, 20, 21.
Comment: # 20: The answer in the book may be incorrect depending on the printing of the book.
# 21: Stick to 2x2 matrices with entries 0 and 1.
Part 10b: Eigenvectors
page 293 (section 6.1): # 26, 29, 31, 32, 33.
Comment: # 29: Don't compute det(A-lambda*I). Use other methods (tr(A), det(A), eigenvectors).
# 26: Recall block triangular matrix determinants from section 5.2, #23.
You shouldn't have to solve any polynomials for lambda in 26 or 29.
# 32b: The answer in the back is incorrect because it is given in the
"eigencoordinate system". You can check your answer with it that way.
Executive Summary:
You are required to answer each question with complete sentences.
- What idea do you believe is the most important in each part and why?
- What troubles did you have with the assignment, if any?