Give a proof for the Consistency Theorem in two steps: (A linear system Ax = b is consistent if and only if b can be written as a linear combination of the column vectors of A.) I) Prove that if b could be written as a linear combination of the column vectors of A, the linear system Ax=b is consistent by writing b as b= a1x1+a2x2+a3x3+...+anxn and examine x (a1) (a2) (a3) II) Prove that the linear system Ax=b is consistent by rewriting Ax