Find the standard matrix \(M\) of a linear transformation \(T_M:\RR ^3\rightarrow \RR ^2\) if
\[T\left (\begin{bmatrix}1\\1\\0\end{bmatrix}\right )=\begin{bmatrix}3\\0\end{bmatrix};\quad T\left (\begin{bmatrix}0\\1\\1\end{bmatrix}\right )=\begin{bmatrix}1\\4\end{bmatrix};\quad T\left (\begin{bmatrix}1\\0\\1\end{bmatrix}\right )=\begin{bmatrix}2\\2\end{bmatrix}\]
\[M=\begin{bmatrix}\answer {2} & \answer {1} & \answer {0}\\\answer {-1} &\answer {1} & \answer {3}\end{bmatrix}\]