A singular value decomposition of A is as follows: 0.5] [20 -0.5 -0.5 0.5 10 [0.8...

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A singular value decomposition of A is as follows: 0.5] [20 -0.5 -0.5 0.5 10 [0.8 -0.6] [0.6 0.5 -0.5 -0.5 0.5 A = U£VT = 0.5 0.5 0.5 0.5 0.8 -0.5 0.5] Find the least-squares solution of the linear system -0.5 0.5 -1 5 Ax = b, where b = -3 5, || Let -0.25] 4- -20 2 Find an invertible matrix X and a diagonal matrix D such that X'AX = D. 1 20 4 X = 1 1 -2 D = 2. A singular value decomposition of A is as follows: 0.5] [20 -0.5 -0.5 0.5 10 [0.8 -0.6] [0.6 0.5 -0.5 -0.5 0.5 A = U£VT = 0.5 0.5 0.5 0.5 0.8 -0.5 0.5] Find the least-squares solution of the linear system -0.5 0.5 -1 5 Ax = b, where b = -3 5, || Let -0.25] 4- -20 2 Find an invertible matrix X and a diagonal matrix D such that X'AX = D. 1 20 4 X = 1 1 -2 D = 2.

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