Answer
$\left[\begin{array}{rrr}
16 & 10 & -10\\
-6 & 16 & 4
\end{array}\right]$
Work Step by Step
A is a 2 by 3 matrix. 2A is also 2 by 3.
B is a 2 by 3 matrix. 4B is also 2 by 3.
2A+4B is defined, and is a 2 by 3 matrix.
$2A+4B=2\cdot\left[\begin{array}{lll}
0 & 3 & -5\\
1 & 2 & 6
\end{array}\right]+4\cdot\left[\begin{array}{lll}
4 & 1 & 0\\
-2 & 3 & -2
\end{array}\right]$
$=\left[\begin{array}{lll}
2\cdot 0 & 2\cdot 3 & 2\cdot(-5)\\
2\cdot 1 & 2\cdot 2 & 2\cdot 6
\end{array}\right]+\left[\begin{array}{lll}
4\cdot 4 & 4\cdot 1 & 4\cdot 0\\
4\cdot(-2) & 4\cdot 3 & 4\cdot(-2)
\end{array}\right]$
$=\left[\begin{array}{lll}
0+16 & 6+4 & -10+0\\
2-8 & 4+12 & 12-8
\end{array}\right]$
$=\left[\begin{array}{rrr}
16 & 10 & -10\\
-6 & 16 & 4
\end{array}\right]$
