If A and B are two matrices such that A+B and AB are both defined, then

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If $A and B$ are two matrices such that $A + B$ and $A B$ are both defined, then

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Number of columns of $A =$ number of columns of $B$

$A and B$ can be any matrices

$A, B$ are square matrices not necessarily of same order

$A, B$ are square matrices of same order.

answer is D.

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Detailed Solution

If $A and B$ are square matrices of same order then only $A + B$ and $A B$ exist.

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