Question

For any two matrices $A$ and $B$, we have

• A. $AB = BA $
• B. $AB\ne BA$
• C. $AB = O $
• D. None of the above

Answer 1

Answer: (D)

None of these is correct answer. Because, For any two matrices $A$ and $B$ we may have $AB = B A , AB \neq B A$
and $A B = 0$ but it is not always true.
We, need more information for these things to verify, like values of matrices $A , B$