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Apr27-09, 10:26 AM
P: 111
Have you gone over the rational canonical form of a matrix? Or the Cayley-Hamilton theorem? If you have, question 1 should be straightforward. The answer to part (a) is yes (use the rational canonical form). For (b), use the Cayley-Hamilton theorem. For (c), write D = S-1 T S, where S is an invertible matrix and D is diagonal. What's D2?