Question: 01 10 Is there a 3 x 3 matrix A such that A2 = I3? If so, nd such an A. If not, show no

01 10 Is there a 3 x 3 matrix A such that A2 = I3? If so, nd such an A. If not, show no such A exists. (hint: use the fact that if X and Y are n x n matrices then |XY| = |X ||Y|) 3. (4 pts) There are 2 X 2 matrices A such that A2 = Ig. For example, if A = l J, then A2 = I2

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