# GATE2013-17

If $P=\begin{bmatrix}1&1\\2&2\end{bmatrix}, Q=\begin{bmatrix}2&1\\2&2\end{bmatrix}$ and $R=\begin{bmatrix}3&0\\1&3\end{bmatrix}$, which one of the following statements is $TRUE$?

1. $PQ=PR$
2. $QR= RP$
3. $OP=RP$
4. $PO= OR$

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## Related questions

1
If $A = \begin{bmatrix} 4 & 2 \\ 1 & 3 \end{bmatrix}$, then $A^2+3A$ will be $\begin{bmatrix} 30 & 20 \\ 10 & 20 \end{bmatrix} \\$ $\begin{bmatrix} 28 & 10 \\ 4 & 18 \end{bmatrix} \\$ $\begin{bmatrix} 31 & 13 \\ 7 & 21 \end{bmatrix} \\$ $\begin{bmatrix} 20 & 10 \\ 5 & 15 \end{bmatrix}$
2
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