Answer
X = $\begin{bmatrix}
-4 & 6 & -2\\
4 & 0 & 10\\
\end{bmatrix}$
Work Step by Step
X = 2A + 2B
First multiply matrix A by the scalar multiple 2:
$\begin{bmatrix}
-2(2) & 1(2) & 3(2)\\
-1(2) & 0(2) & 4(2)\\
\end{bmatrix}$ = $\begin{bmatrix}
-4 & 2 & 6\\
-2 & 0 & 8\\
\end{bmatrix}$
First multiply matrix B by the scalar multiple 2:
$\begin{bmatrix}
0(2) & 2(2) & -4(2)\\
3(2) & 0(2) & 1(2)\\
\end{bmatrix}$ = $\begin{bmatrix}
0 & 4 & -8\\
6 & 0 & 2\\
\end{bmatrix}$
Then perform X = 2A + 2B:
X = $\begin{bmatrix}
-4+0 & 2+4 & 6-8\\
-2+6 & 0+0 & 8+2\\
\end{bmatrix}$ = $\begin{bmatrix}
-4 & 6 & -2\\
4 & 0 & 10\\
\end{bmatrix}$
