Construct the pseudoinverse of A. Begin by using a matrix program to produce the SVD of A, or, if that is not available, begin with an orthogonal diagonalization of A^TA. Use the, pseudoinverse to solve Ax = b, for b = (6,-1,-4,6), and let x̂ be the solution. Make a calculation to verify that x̂ is in Row A. Find a nonzero vector u in Nul A, and verify that ΙΙx̂ΙΙ < ΙΙx̂ + uΙΙ, which must be true by Exercise 29(c).

Data From Exercise 29 (c)

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A = 4526 -5 0-1 -2 0 3 5 0 -1 -2 0 -3 -6 0 0 0 0