Question: A matrix A = ([1, 2, 1], [1, 1, 0], [2, 4, 2]) is given.. Write matrix A in 3X3 matrix form.(a) Find the SVD

A matrix A = ([1, 2, 1], [1, 1, 0], [2, 4, 2]) is given.. Write matrix A in 3X3 matrix form.(a) Find the SVD and the pseudo-inverse A of A. (b) For the linear equation Ax = b where b = [0 1 1], determine if a solution x exists. If yes, write the generic expression of all the solutions and among them find the least norm solution xln. If no, find a least square solution xls and determine if xls is unique. (c) Repeat part (b) for b = [0 2 0 ]

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