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Please provide detailed steps by steps. An inconsistent system of linear equation Ax = b is given with 1 2 1 1 A: 3 5

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An inconsistent system of linear equation Ax = b is given with 1 2 1 1 A: 3 5 2 and b: 3 . 2 3 1 1 (a) Find the matrix PW Where W represents the column space of A. (b) Use the method of least squares to nd the vectors 2 that minimize ||Az b||. (c) Find the solution of least norm to the equation Ax = PWb

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