If 
and 
verify that A(B – C) = (AB – AC).
Given : 
and 
Matrix A is of order 3 
3; matrix B is of order 3 
3 and matrix C is of order 3 
3
To verify : A(B – C) = (AB – AC).
The formula used : 
If A is a matrix of order a 
b and B is a matrix of order c 
d ,then matrix AB exists and is of order a 
d ,if and only if b = c
If A is a matrix of order a 
b and B is a matrix of order c 
d ,then matrix BA exists and is of order c 
b ,if and only if d = a
B - C = 
= 
B - C = 
For Matrix A(B - C), a = 3,b = c = d = 3,thus matrix A(B + C) is of order 3 x 3
A(B - C) = 
A(B - C) = 
A(B - C) = 
= 
A(B - C) = 
For matrix AB, a = 3, b = c = d = 3 ,matrix AB is of order 3 x 3
Matrix AB = 
Matrix AB = 
Matrix AB = 
= 
Matrix AB = 
For matrix AC, a = 3, b = c = d = 3 ,matrix AC is of order 3 x 3
Matrix AC = 
Matrix AC = 
Matrix AC = 
= 
Matrix AC = 
Matrix AB - AC = 
= 
Matrix AB - AC = 
A(B – C) = (AB – AC) = 