Answer
$T(x,y,z)=(-x+8y,2x-2y-5z)$
Work Step by Step
We are given $A=\begin{bmatrix}
-1 & 8 & 0\\
2 & -2 & -5
\end{bmatrix}$
Since $T(x,y,z)=Ax\\
=\begin{bmatrix}
-1 & 8 & 0\\
2 & -2 & -5
\end{bmatrix}\begin{bmatrix}
x\\
y \\
z
\end{bmatrix}\\
=\begin{bmatrix}
-x+ 8y\\
2x-2y-5z
\end{bmatrix}$
Hence, $T(x,y,z)=(-x+8y,2x-2y-5z)$
