Complete these matrices so that det A = 25. Then check that A = 5 is repeatedthe trace

Chapter 6, Problem 13

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Complete these matrices so that det A = 25. Then check that A = 5 is repeatedthe trace is 10 so the determinant of A - AI is (A - 5)2. Find an eigenvector with Ax = 5x. These matrices will not be diagonalizable because there is no second line of eigenvectors.

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