• 试题 ID 36584


设 $\boldsymbol{\alpha}_1=\left(\begin{array}{l}0 \\ 0 \\ c_1\end{array}\right), \boldsymbol{\alpha}_2=\left(\begin{array}{l}0 \\ 1 \\ c_2\end{array}\right), \boldsymbol{\alpha}_3=\left(\begin{array}{c}1 \\ -1 \\ c_3\end{array}\right), \boldsymbol{\alpha}_4=\left(\begin{array}{c}-1 \\ 1 \\ c_4\end{array}\right)$ ,其中 $c_1, c_2, c_3, c_4$ 为任意常数,则下列向量组线性相关的为
A $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3$ .
B $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_4$ .
C $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_3, \boldsymbol{\alpha}_4$ .
D $\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3, \boldsymbol{\alpha}_4$ .
E
F
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解析:

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