Clearly AB ≠ BA Thus matrix multiplication is not commutative Rationalised 2023-24
 54
MATHEMATICS
ANote  This does not mean that AB ≠ BA for every pair of matrices A, B for
which AB and BA, are defined For instance,
If  
1
0
3
0
A
, B
0
2
0
4




=
=








, then AB = BA = 
3
0
0
8






Observe that multiplication of diagonal matrices of same order will be commutative