Consider this solution of the equation X2 = I3 in the ring M3(ℝ).
X2 = I3 implies X2 - I3 = 0, the zero matrix, so factoring, we have (X - I3)(X + I3) = 0 whence either X = I3 or X = -I3. Is this reasoning correct? If not, point out the error, and if possible, give a counterexample to the conclusion.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.