Consider the linear systems 1 -2 3 X1 2 4 X2 = O 1 -7 5 and -2 37 X 1 2 2 4 X2 7 1 -7 5 (a) Find a general solution of the homogeneous system (b) Confirm that x1 = 1, x2 = 1, x3 = 1 is a solution of the nonhomogeneous system. (c) Use the results in parts (a) and (b) to find a general solution of the nonhomogeneous system