Question: 11. Suppose A E Mmxn (R) and b E RM and define z = Ab. (a) If Ax = b is consistent (has a solution),

11. Suppose A E Mmxn (R) and b E RM and define z = Ab. (a) If Ax = b is consistent (has a solution), prove that z is the solution with minimal norm. (b) If Ax = b is inconsistent, prove that z is the unique minimizer of |Az - b|| with minimal norm

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