Find det (A) given that A has p(A) as its characteristic polynomial. P(A) = 13 - 5A2 + A +9 det (A) = Hint: See the proof of Theorem 7.1.4. ( If given det (AI - A) = A" + CA" -1+ .. + C, then, on setting A = 0, det (- A) = C, or (- 1)"det (A) = C, ) Click if you would like to Show Work for this question: Open Show Work

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.