$\alpha$ 在基 $\alpha_1, \alpha_2, \alpha_3$ 下的坐标为 $\left(\begin{array}{c}1 \\ -1 \\ 2\end{array}\right)$ ，则 $T(\alpha)$ 在基 $\alpha_1, \alpha_2, \alpha_3$ 下的坐标为 ．
$\text{A.}$ $\left(\begin{array}{c}1 \\ -1 \\ 2\end{array}\right)$
$\text{B.}$ $\left(\begin{array}{l}1 \\ 0 \\ 1\end{array}\right)$
$\text{C.}$ $\left(\begin{array}{c}1 \\ -1 \\ 1\end{array}\right)$
$\text{D.}$ $\left(\begin{array}{c}-1 \\ 1 \\ 2\end{array}\right)$
$\text{E.}$
$\text{F.}$