Answer
$\left[\begin{matrix}
-8& 7 &-15\\
7& 0 &22
\end{matrix}\right]$.
Work Step by Step
The given matrices are
$A=\left[\begin{matrix}
0& 3 &-5\\
1& 2 &6
\end{matrix}\right]$
$B=\left[\begin{matrix}
4& 1 &0\\
-2& 3 &-2
\end{matrix}\right]$
Multiply matrix $A$ by $3$.
$3A=3\left[\begin{matrix}
0& 3 &-5\\
1& 2 &6
\end{matrix}\right]$
Multiply each element by $3$.
$3A=\left[\begin{matrix}
0& 9 &-15\\
3& 6 &18
\end{matrix}\right]$
Multiply matrix $B$ by $2$.
$2B=2\left[\begin{matrix}
4& 1 &0\\
-2& 3 &-2
\end{matrix}\right]$
Multiply each element by $2$.
$2B=\left[\begin{matrix}
8& 2 &0\\
-4& 6 &-4
\end{matrix}\right]$
Subtract each entry of $2B$ from $3A$.
$\Rightarrow 3A-2B=\left[\begin{matrix}
0-8& 9-2 &-15-0\\
3-(-4)& 6-6 &18-(-4)
\end{matrix}\right]$
Simplify.
$\Rightarrow 3A-2B=\left[\begin{matrix}
-8& 7 &-15\\
3+4& 0 &18+4
\end{matrix}\right]$
$\Rightarrow 3A-2B=\left[\begin{matrix}
-8& 7 &-15\\
7& 0 &22
\end{matrix}\right]$.
