Answer
$\begin{bmatrix}
16 & 10 & -10\\
-6 & 16 & 4
\end{bmatrix}$
Work Step by Step
Since, matrix $A$ and $B$ are both $ 2 \times 3$ matrices and have the same dimensions, we know that their addition, $2A+4B$, is defined.
Multiply $2$ to each element of $A$ and multiply $4$ to each element of $B$, then add each corresponding element to obtain:
\begin{align*}
2A+4B&=\begin{bmatrix}
2\cdot 0 & 2\cdot 3 & 2(-5)\\
2\cdot 1 & 2\cdot 2 & 2\cdot 6
\end{bmatrix}+\begin{bmatrix}
(4)(4) & (4)(1) & 4\cdot 0\\
4(-2) & 4\cdot 3 & (4)(-2)
\end{bmatrix}\\
&=\begin{bmatrix}
0+16 & 6+4 & -10+0\\
2-8 & 4+12 & 12-8
\end{bmatrix} \\
&=\begin{bmatrix}
16 & 10 & -10\\
-6 & 16 & 4
\end{bmatrix}
\end{align*}
