Answer
X = $\begin{bmatrix}
-2 & 0 & 5\\
-\frac{5}{2} & 0 & \frac{7}{2}\\
\end{bmatrix}$
Work Step by Step
2X = 2A - B
X = $\frac{1}{2}$(2A - B)
First multiply matrix A by the scalar multiple 2:
$\begin{bmatrix}
-2(2) & 1(2) & 3(2)\\
-1(2) & 0(2) & 4(2)\\
\end{bmatrix}$ = $\begin{bmatrix}
-4 & 2 & 6\\
-2 & 0 & 8\\
\end{bmatrix}$
Then perform 2A - B to get matrix Y:
Y = $\begin{bmatrix}
-4-0 & 2-2 & 6+4\\
-2-3 & 0-0 & 8-1\\
\end{bmatrix}$ = $\begin{bmatrix}
-4 & 0 & 10\\
-5 & 0 & 7\\
\end{bmatrix}$
Then multiply matrix Y by the scalar multiple of $\frac{1}{2}$ to get X:
X = $\begin{bmatrix}
-4(\frac{1}{2}) & 0(\frac{1}{2}) & 10(\frac{1}{2})\\
-5(\frac{1}{2}) & 0(\frac{1}{2}) & 7(\frac{1}{2})\\
\end{bmatrix}$ = $\begin{bmatrix}
-2 & 0 & 5\\
-\frac{5}{2} & 0 & \frac{7}{2}\\
\end{bmatrix}$
