Consider the following proposed solution to the equation x^(2) −1 = 0 in the ring M3×3(R). (Note that in this ring, unity, denoted1, is the 3 ×3 identity matrix, and 0 is the 3×3 zero matrix.)Factoring, we obtain (x − 1)(x + 1) = 0, so either x = 1 or x = −1.Thus there are precisely two solutions, the identity matrix and thenegative of the identity. Is this reasoning correct? If not, point out the error. If thereis a counterexample to the conclusion, find one. (Note that theconclusion may be true even though the reasoning may beincorrect.) . . .