Question

If A,B, and C are nxn matrices, does AB=AC mean B = C?

Answer 1

No. What if `A = 0` ?

Explanation:

For example, `A=((0, 0), (0, 0))`, `B=((1, 2), (3, 4))`, `C = ((5, 6), (7, 8))`

Then `AB = AC = ((0, 0), (0, 0))`, but `B != C`