If A and B are two matrices such that A+B and | vedclass

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(B) For the sum $A+B$ to be defined,matrices $A$ and $B$ must have the same order. Let the order of $A$ be $m 	imes n$. Then the order of $B$ must al

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$A$ and $B$ are square matrices of the same order

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(B) For the sum $A+B$ to be defined,matrices $A$ and $B$ must have the same order. Let the order of $A$ be $m 	imes n$. Then the order of $B$ must also be $m 	imes n$. For the product $AB$ to be defined,the number of columns in $A$ must be equal to the number of rows in $B$. Since $A$ is $m 	imes n$,it has $n$ columns. Since $B$ is $m 	imes n$,it has $m$ rows. Therefore,for $AB$ to be defined,we must have $n = m$. Since $m = n$,the matrices $A$ and $B$ must be square matrices of the same order $n 	imes n$.

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

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