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