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Let A be a 4 x 5 matrix and let U be the reduced row echelonform of A. If

a1=(2,1,-3,-2)T, a2=(-1,2,3,1)T

(a) find basis for N(A).

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

b=(0,5,3,4)T and x0=(3,2,0,2,0)T

(i) find all solutions to the system.

(ii) determine the remaining column vectors of A.

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