5.29 For the following matrices, find (if possible) an invertible matrix Q and a diagonal matrix...

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5.29 For the following matrices, find (if possible) an invertible matrix Q and a diagonal matrix D such that A = QDQ-¹. (Note: You are not asked to find Q-¹.) You may take as given that in (a), PÂ(A) = (λ +8)(2²+1), in (b) PA(A) = (2-1)(λ - 2)², in (g) P₁(A) = −(λ + 3)²(λ − 6), and in (h) P₁(2) = -(λ- 2)²(λ-3). (e) ga 7 -1 [ 1 -4 2 -4 1-2 2-2 -2 -2 5.29 For the following matrices, find (if possible) an invertible matrix Q and a diagonal matrix D such that A = QDQ-¹. (Note: You are not asked to find Q-¹.) You may take as given that in (a), PÂ(A) = (λ +8)(2²+1), in (b) PA(A) = (2-1)(λ - 2)², in (g) P₁(A) = −(λ + 3)²(λ − 6), and in (h) P₁(2) = -(λ- 2)²(λ-3). (e) ga 7 -1 [ 1 -4 2 -4 1-2 2-2 -2 -2