Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to the Hirsch, Smale and Devaney text. Unless otherwise noted, each part (a), (b), (c), etc. of a problem should be answered. You should write up solutions neatly to all problems, making sure to SHOW ALL YOUR WORK. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.
Important: Please list the names of any students or faculty who you worked with on the assignment. Also be sure to cite any texts, websites, manuals, etc. you may have used.

Chapter 5 Exercises (pp. 104 - 106)
Problems:   2a, 2c, 5a, 5c, 5d, 6

Hints and Notes: For problem #2c, there is an easy way (look at the matrix) and a hard way (brute force to find the evals). For the matrices in problem #5, give the change of coordinates matrix P which converts the given matrix into canonical form, that is, find P such that P^(-1) A P = D is in canonical (Jordan) form. For problem #6, you may assume that the diagonal "blocks" for the eigenvalue 2 come above the diagonal blocks for 1 +/- i.

Chapter 6 Exercises (pp. 135 - 138)
Problems:   1a, 1c, 1e, 2, 3, 5

Hints and Notes: For problem #1e, don't find evals and evecs. Try writing the system as three ODE's and then solving the "easy" ones. Plug in and guess the form of the remaining solution.