Answer
$\left[\begin{matrix}
16& 10 &-10\\
-6&16 &4
\end{matrix}\right]$
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 $2$.
$2A=2\left[\begin{matrix}
0& 3 &-5\\
1& 2 &6
\end{matrix}\right]$
Multiply each element by $2$.
$2A=\left[\begin{matrix}
0& 6 &-10\\
2& 4 &12
\end{matrix}\right]$
Multiply matrix $B$ by $4$.
$4B=4\left[\begin{matrix}
4& 1 &0\\
-2& 3 &-2
\end{matrix}\right]$
Multiply each element by $4$.
$4B=\left[\begin{matrix}
16& 4 &0\\
-8& 12 &-8
\end{matrix}\right]$
Add the corresponding elements of $2A$ and $4B$.
$\Rightarrow 2A+4B=\left[\begin{matrix}
0+16& 6+4 &-10+0\\
2+(-8)& 4+12 &12+(-8)
\end{matrix}\right]$
Simplify.
$\Rightarrow 2A+4B=\left[\begin{matrix}
16& 10 &-10\\
2-8&16 &12-8
\end{matrix}\right]$
$\Rightarrow 2A+4B=\left[\begin{matrix}
16& 10 &-10\\
-6&16 &4
\end{matrix}\right]$
