you are given "A" (2x2 matrix) and you need to find AB=AC, with B not equal C?

Question

b and c are both 2x2 matricies

Answer 1

Sure, lots of examples:
| 1 1 | | 1 2 |
| 2 2 | | 4 8 |
equals
| 5 10 |
| 10 20|
and
| 1 1 | | 2 4 |
| 2 2 | | 3 6 |
equals
| 5 10 |
| 10 20|