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

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Determine if the following matrices are symmetric positive definite (SPD). 2 (a) A = 2 1 5 2 2 2 (b) A = NHO 1 O . . . . . O 1 0 O -1 2 . . . . . 0 -1 2 -1 (c) A = O . . . . . . 0 2 (d) A = CTBC 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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