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

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(C) For the sum $A+B$ to be defined, the matrices $A$ and $B$ must have the same order, say $m 	imes n$.For the product $AB$ to be defined, the numbe

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

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(C) For the sum $A+B$ to be defined, the matrices $A$ and $B$ must have the same order, say $m 	imes n$.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 of order $m 	imes n$, it has $n$ columns. Since $B$ is of order $m 	imes n$, it has $m$ rows.Therefore, for $AB$ to be defined, we must have $n = m$.Since $m = n$, both matrices have the same order $n 	imes n$, which means they are square matrices of the same order.

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

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