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If A and B are two square matrices such that $AB=I$, then which of the following is not true? |
$BA=I$ $A^{-1}=B$ $B^{-1} = A$ $A^2=B$ |
$A^2=B$ |
We have, $AB=I$ $⇒B^{-1} = A$ and $A^{-1}=B$ $⇒BA=BB^{-1} =I$ Hence, option (4) is not correct. |
