I've just started with linear algebra and am NOT looking for the answer. I'm just looking for a way to begin answering the following true/false question:
If A,B,C are matrices of the same size such that A+C=B+C then A=B and A(−1) =B(−1)
The A(-1) and B(-1) are the inverses of A and B.
Should I create, let's say, a 2x2 matrix (with any numbers) for A, B, and C?
If so, then what would be my next step?