(a) U se matrix multiplication to show that if x0 is a solution of the homogeneous system Ax = 0 and x1 is a solution of the nonhomogeneous system Ax = b then x0 + x1 is also a solution of the nonhomogeneous system.
(b) Suppose that x1 and x2 are solutions of the nonhomogeneous system of part (a). Show that x1 − x2 is a solution of the homogeneous system Ax = 0.
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