For each of the following, factor the matrix A into a product QDQT where is orthogonal and D is diagonal. 1 (a) A Q: = = 00 -1888) -(888) D = (b) A = = -1 -1] -3 5 5 -3 8 -2 2 -2 5 -5 2 -5 5 D = 0 00 00

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