Given, X and Y two matrices are square matrices of $2\times 2$
Then,
- $2X+3Y$
$2X=\left[ \begin{matrix}
2\times 2 & 9\times 2 \\
5\times 2 & 7\times 2 \\
\end{matrix} \right]$
$=\left[ \begin{matrix}
4 & 18 \\
10 & 14 \\
\end{matrix} \right]$
$3Y=\left[ \begin{matrix}
7\times 3 & 3\times 3 \\
4\times 3 & 1\times 3 \\
\end{matrix} \right]$
$=\left[ \begin{matrix}
21 & 9 \\
12 & 3 \\
\end{matrix} \right]$
$2X+3Y=\left[ \begin{matrix}
4+21 & 18+9 \\
10+12 & 14+3 \\
\end{matrix} \right]$
$=\left[ \begin{matrix}
25 & 27 \\
22 & 15 \\
\end{matrix} \right]$
2. $2Y–X$
$2Y=\left[ \begin{matrix}
7\times 2 & 3\times 2 \\
4\times 2 & 1\times 2 \\
\end{matrix} \right]$
$=\left[ \begin{matrix}
14 & 6 \\
8 & 2 \\
\end{matrix} \right]$
$=2Y-X=\left[ \begin{matrix}
14-2 & 6-9 \\
8-5 & 2-7 \\
\end{matrix} \right]$
$=\left[ \begin{matrix}
12 & -3 \\
3 & -5 \\
\end{matrix} \right]$