Q1Written answer
Matrices \[A\] and \[B\] will be inverse of each other only if
\[AB=BA\]
\[AB=BA=0\]
\[AB=0,BA=I\]
\[AB=BA=I\]
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Worked solution
Ans: Since, if \[A\] is a square matrix of order \[m\] , and if there exists another square matrix \[B\] of the same order \[m\] , such that \[AB=BA=I\] , then \[B\] is said to be the inverse of \[A\]. In such a case, it is clear that \[A\] is the inverse of \[B\].
Thus, matrices \[A\] and \[B\] will be inverse of each other only if \[AB=BA=I\].
Thus, option (D) is correct.