Suppose that AX= B is the representation of the system of a linear equations.

A.Suppose Y is a solution of this system,and that Z1 and Z2 are solutions of the associated homogeneous system. Show that Y - 17 Z1 +16 Z2 is a solution of AX= B.

B.Suppose that Y1 and Y2 are solutions of AX=B.Show that 2Y1 -Y2 is also a solutions of AX=B.