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已知向量

α_{1} = (\begin{array}{l} 1 \\ 2 \\ 3 \end{array}), α_{2} = (\begin{array}{l} 2 \\ 1 \\ 1 \end{array}), β_{1} = (\begin{array}{l} 2 \\ 5 \\ 9 \end{array}), β_{2} = (\begin{array}{l} 1 \\ 0 \\ 1 \end{array})

, 若

γ

既可由

α_{1}, α_{2}

线性表示，也可由

β_{1}, β_{2}

线性表示，则

γ =

( )

A.

k (\begin{array}{l} 3 \\ 3 \\ 4 \end{array}), k \in R

B.

k (\begin{matrix} 3 \\ 5 \\ 10 \end{matrix}), k \in R

C.

k (\begin{matrix} - 1 \\ 1 \\ 2 \end{matrix}), k \in R

D.

k (\begin{array}{l} 1 \\ 5 \\ 8 \end{array}), k \in R

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