A and B are two non-square matrices. If P = A | vedclass

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(C) Let the order of matrix $A$ be $m 	imes n$. Since $A$ and $B$ are added to form $P = A + B$, $B$ must also have the order $m 	imes n$.For $Q = A

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$PQ$ and $RP$

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(C) Let the order of matrix $A$ be $m 	imes n$. Since $A$ and $B$ are added to form $P = A + B$, $B$ must also have the order $m 	imes n$.For $Q = A^T B$, the order of $A^T$ is $n 	imes m$ and $B$ is $m 	imes n$. Thus, the product $Q$ has order $n 	imes n$.For $R = A B^T$, the order of $A$ is $m 	imes n$ and $B^T$ is $n 	imes m$. Thus, the product $R$ has order $m 	imes m$.Now, let us check the options:$P$ is $m 	imes n$, $Q$ is $n 	imes n$, $R$ is $m 	imes m$.$PQ$ has order $(m 	imes n) 	imes (n 	imes n) = m 	imes n$.$RP$ has order $(m 	imes m) 	imes (m 	imes n) = m 	imes n$.Both $PQ$ and $RP$ have the same order as $A$, which is $m 	imes n$.

$A$ and $B$ are two non-square matrices. If $P = A + B$, $Q = A^T B$, and $R = A B^T$, then the matrices whose order is equal to the order of $A$ are

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