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.
  1. What idea do you believe is the most important in each part and why?
  2. What troubles did you have with the assignment, if any?