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+1 vote
1.2k views
in Linear Equations by (49.9k points)
closed by

For any two matrices A and B, 

A. AB = BA is always true 

B. AB =BA is never true 

C. sometimes AB = BA and sometimes AB ≠ BA 

D. whenever AB exists, then BA exists

1 Answer

+1 vote
by (55.0k points)
selected by
 
Best answer

If the two matrices A and B are of same order it is not necessary that in every situation AB = BA 

AB = BA = I only when A = B-1 

B = A-1 

Other time AB ≠ BA

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