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QUESTION

a) Suppose S = {p1(x), p2(x), p3(x), p4(x), p5(x)}, where p1(x) = 1xx2 +2x3 p2(x) = 1xx3 p3(x) = 55x2x2 +x3 p4(x) = 1x+x2 4x3 p5(x) = 3x2 9x3 i)

> with(LinearAlgebra):> A := <<1,-1,-1,2>|<1,-1,0,-1>|<5,-5,-2,1>|<1,-1,1,-4>|<0,0,3,-9>>;> Id4:=IdentityMatrix(4):> AI:=<A|Id4>;> ReducedRowEchelonForm(AI);

102−1−300−1 0 0 1 3 2 3 0 0 −2 −1  0 0 0 0 0 1 0 3 1  0 0 0 0 0 0 1 −3 −1

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