$\boldsymbol{\alpha}_1=\left[\begin{array}{l}1 \\ 0 \\ 0 \\ c_1\end{array}\right], \boldsymbol{\alpha}_2=\left[\begin{array}{c}1 \\ -1 \\ 0 \\ c_2\end{array}\right], \boldsymbol{\alpha}_3=\left[\begin{array}{c}1 \\ -1 \\ 1 \\ c_3\end{array}\right], \boldsymbol{\alpha}_4=\left[\begin{array}{l}1 \\ 2 \\ 3 \\ c_4\end{array}\right]$ ，任意的 $c_i(i=1,2,3,4)$ 总有
$\text{A.}$ $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3$ 线性相关．
$\text{B.}$ $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3, \boldsymbol{\alpha}_4$ 线性相关．
$\text{C.}$ $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3$ 线性无关．
$\text{D.}$ $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3, \boldsymbol{\alpha}_4$ 线性无关．
$\text{E.}$
$\text{F.}$