Give examples of matrices A, B and C such that AB = AC but B ≠ C, A ≠ O.

Question

Philoid · Accepted Answer

We need to find matrices A, B and C such that AB = AC but B ≠ C, A ≠ O.

Let, and.

First, we will find AB.

Now, we will find AC.

Thus, AB = AC but B ≠ C, A ≠ O when, and.

Give examples of matricesA, B and C such that AB = AC but B ≠ C, A ≠ O.