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2. Determine if the following matrices are symmetric positive definite (SPD). -2 (a) A = -2 1 5 2 2 2 1 (b) A =

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2. Determine if the following matrices are symmetric positive definite (SPD). -2 (a) A = -2 1 5 2 2 2 1 (b) A = 1 1 -1 O 2 1 0 . . O O -1 2 -1 . . . 0 -1 2 -1 (c) A = . . O . . 0 2 (d) A = CBC where B is n x n SPD and C' is n x n nonsingular. (e) A = I + ww for some column vector w

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