In Kreyszig, 7.11,7.12,7.14 To be covered the week after springbreak: 7.14,4.1,4.3
Do all core problems in 7.11 (but not #11),7.12,7.14 (but not # 11)
7.11 # 2 7.12 # 11,20 7.14 # 20,22,26,29
PAST FINAL EXAMS:
Spring 97 # 9 Spring 98 # 3,6
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.