Due Wednesday, November 7 i

Problems assigned in class Monday October 29, 2001.
For the matrices

A = [0 1]   Hint: A*A = I
    [1 0]

B = [ 0 1 ]  Hint: A*A = -I
    [-1 0 ]

C = [ 0 -1]  Hint: A*A + A + I = 0, and A*A*A = I
    [ 1 -1]

1) Find exp(At), exp(Bt), exp(Ct) using the eigenvalue, eigenvector
   method.

2) Use the  exp(At) = b_0(t)I + b_1(t)A , etc method to find
   exp(At), exp(Bt), and exp(Ct) by solving for the needed b_0 and
   b_1 in each case..

3) Compare the answers from 1) and 2) ( should be the same ).
Which was more work? Which do you understand better?