Let a linear map $T:R^2 -> R^3$ defined by $T\begin{pmatrix}2\1\end{pmatrix}=\begin{pmatrix}2\3\-3\end{pmatrix}$, $T\begin{pmatrix}1\2\end{pmatrix}=\begin{pmatrix}-2\4\0\end{pmatrix}$.

Then $T\begin{pmatrix}1\-4\end{pmatrix}$ is equal to

a. $\begin{pmatrix}{r}0\4\end{pmatrix}$

b. $\begin{pmatrix}{r}6\4\0\end{pmatrix}$

c. $\begin{pmatrix}{r}10\-6\-6\end{pmatrix}$

d. $\begin{pmatrix}{r}2\0\2\end{pmatrix}$

e. $\begin{pmatrix}{r}-8\4\8\end{pmatrix}$