Answer
$\left[\begin{array}{cc}
2-x & -z\\
-3 & 4-r\\
-w & -2
\end{array}\right]$
Work Step by Step
$A=\left[\begin{array}{lll}
1 & -1 & 0\\
0 & 2 & -1
\end{array}\right],\quad B=\left[\begin{array}{lll}
3 & 0 & -1\\
5 & -1 & 1
\end{array}\right],\quad C=\left[\begin{array}{lll}
x & 1 & w\\
z & r & 4
\end{array}\right]$
$A^{T}=\left[\begin{array}{ll}
1 & 0\\
-1 & 2\\
0 & -1
\end{array}\right],\quad 2A^{T}=\left[\begin{array}{ll}
2 & 0\\
-2 & 4\\
0 & 2
\end{array}\right]$
$ C^{T}=\left[\begin{array}{ll}
x & z\\
1 & r\\
w & 4
\end{array}\right],\quad$
$2A^{T}-C^{T}=\left[\begin{array}{ll}
2-x & 0-z\\
-2-1 & 4-r\\
0-w & 2-4
\end{array}\right]=\left[\begin{array}{ll}
2-x & -z\\
-3 & 4-r\\
-w & -2
\end{array}\right]$
