Problem

Let A be a 4 × 5 matrix and let U be the reduced row echelon form of A. If...

Let A be a 4 × 5 matrix and let U be the reduced row echelon form of A. If

(a) find a basis for N(A).

(b) given that x0 is a solution of Ax = b, where

(i) find all solutions to the system.

(ii) determine the remaining column vectors of A.

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