Give an example of three matrices A, B, C such that
AB = AC but B ≠ C.
Given : AB = AC and B ≠ C.
To Find : matrix A and B
Formula used :
Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj
Let A = 
, B = 
and C = 
B ≠ C
AB = 
= 
AB = 
= 0
AC = 
= 
AC = 
= 0
AB = AC = 0
A = 
, B = 
and C = 
1