Given A = 2 4- 5 8 7 14- 4- and b = 28 3 6 1 12 (a). Show that Ax = b is consistent. (12 points) (b). What is the rank and nullity of the given matrix A? (6 points) (b). Write the general solution of nonhomogeneous system Ax = b as x = xh + xp , where xh is the general solution of homogeneous system Ax = 0, and xp is a particular solution of Ax = b. (8 points)