Answer
$\left[\begin{array}{rrr}
2 & 3 & -3\\
-3 & 2 & 0
\end{array}\right]$
Work Step by Step
$A=\left[\begin{array}{ll}
0 & -1\\
1 & 0\\
-1 & 2
\end{array}\right], \quad B=\left[\begin{array}{ll}
0.25 & -1\\
0 & 0.5\\
-1 & 3
\end{array}\right],\quad C=\left[\begin{array}{ll}
1 & -1\\
1 & 1\\
-1 & -1
\end{array}\right]$.
$(A^{T})_{ij}=a_{ji}$
(the rows in A are columns in $A^{T} $)
$A^{T}=\left[\begin{array}{lll}
0 & 1 & -1\\
-1 & 0 & 2
\end{array}\right], \quad C^{T}=\left[\begin{array}{lll}
1 & 1 & -1\\
-1 & 1 & -1
\end{array}\right]$
$2C^{T}=\left[\begin{array}{lll}
2 & 2 & -2\\
-2 & 2 & -2
\end{array}\right]$
$A^{T}+2C^{T}=\left[\begin{array}{lll}
0 & 1 & -1\\
-1 & 0 & 2
\end{array}\right]+\left[\begin{array}{lll}
2 & 2 & -2\\
-2 & 2 & -2
\end{array}\right]$
$=\left[\begin{array}{lll}
0+2 & 1+2 & -1-2\\
-1-2 & 0+2 & 2-2
\end{array}\right]=\left[\begin{array}{lll}
2 & 3 & -3\\
-3 & 2 & 0
\end{array}\right]$
