The next midterm is Mo, March 22, 6:30-8 pm ! You may want to use part of the sprinbreak to start reviewing for the midterm.

**READINGS:**

In Kreyszig, 7.11,7.12,7.14 To be covered the week after springbreak: 7.14,4.1,4.3

**CORE PROBLEMS:**

Do all core problems in 7.11 (but not #11),7.12,7.14 (but not # 11)

**
ADDITIONAL PROBLEMS: **

7.11 # 2 7.12 # 11,20 7.14 # 20,22,26,29

**
PAST FINAL EXAMS:**

Spring 97 # 9 Spring 98 # 3,6

**
MAPLE ASSIGNMENT:**

- You can again do this part of the assignment as a study group. But each person should attach a copy of the solutions to the assignment they hand in since otherwise the grading becomes too time consuming.
- Do 7.12 # 13 , 7.14 # 8,24

a)Show that every nxn matrix with n odd has a real eigenvalue. b)Show that every 3x3 proper orthogonal matrix A has an axis, i.e. a vector v with Av=v . c)Show that every 2x2 proper orthogonal matrix is of the form cos(t) -sin(t) sin(t) cos(t) for some angle t.