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Math 54, Quiz 9 Section 108 GSI CarterName:1. Determine whether each of the following matrices is diagonalizable. You must justify your answer, butit is not necessary to exhibit a diagonalization.(a)2 0 0 05 2 0 0−1 3 2 04 −1 5 2(b)−5 4 −4 43 6 −6 −6−9 3 11 13−6 2 12 2, which has characteristic polynomial (λ2− 49)(λ2− 14λ).12. For the given matrix A, find a matrix Q and a diagonal matrix Λ such that A = QΛQT.A =2 −2−2
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