Question: Let us consider a linear system Ax = b, where A is an m n matrix, with 2 free variables. If p1, p2, p3 are

Let us consider a linear system Ax = b, where A is an m n matrix, with 2 free variables. If p1, p2, p3 are linearly independent vectors in Rn such that Ap1 = Ap2 = Ap3, prove that Span{p1 p2, p2 p3} is the solution set of Ax = 0

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