4. (5 points) nonhomogeneous matrix equations consider the following nonhomogeneous matrix equation, where a is a square matrix ax = b. and its associated homogeneous version when a is invertible both of these equations will have a unique solution. when a is not invertible, equation (1) will have either no solution or infinitely many solutions, whereas equation (2) will necessarily have infinitely many solutions because the trivial solution, x = 0 is a solution and thus it is impossible to have no solution. suppose a is not invertible, but x, is a solution to (1), and the set b-(x, xo) is a basis for the solution space of (2). then is the general solution to (1) for any scalars c and c because