已知向量\(\alpha_{1}=\begin{pmatrix}1\\2\\3\end{pmatrix}\)，\(\alpha_{2}=\begin{pmatrix}2\\1\\1\end{pmatrix}\)，\(\beta_{1}=\begin{pmatrix}2\\5\\9\end{pmatrix}\)，\(\beta_{2}=\begin{pmatrix}1\\0\\1\end{pmatrix}\). 若\(\gamma\)既可由\(\alpha_{1},\alpha_{2}\)线性表示，也可由\(\beta_{1},\beta_{2}\)线性表示，则\(\gamma =\)

（A）\(k\begin{pmatrix}3\\3\\4\end{pmatrix},k\in R\).

（B）\(k\begin{pmatrix}3\\5\\10\end{pmatrix},k\in R\).

（C）\(k\begin{pmatrix}-1\\1\\2\end{pmatrix},k\in R\).

（D）\(k\begin{pmatrix}1\\5\\8\end{pmatrix},k\in R\).