题号:1628    题型:单选题    来源:2007年全国硕士研究生招生考试试题
设向量组 $\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \boldsymbol{\alpha}_{3}$ 线性无关, 则下列向量组线性相关的是 ( )
$\text{A.}$ $\boldsymbol{\alpha}_{1}-\boldsymbol{\alpha}_{2}, \boldsymbol{\alpha}_{2}-\boldsymbol{\alpha}_{3}, \boldsymbol{\alpha}_{3}-\boldsymbol{\alpha}_{1}$. $\text{B.}$ $\boldsymbol{\alpha}_{1}+\boldsymbol{\alpha}_{2}, \boldsymbol{\alpha}_{2}+\boldsymbol{\alpha}_{3}, \boldsymbol{\alpha}_{3}+\boldsymbol{\alpha}_{1}$. $\text{C.}$ $ \boldsymbol{\alpha}_{1}-2 \boldsymbol{\alpha}_{2}, \boldsymbol{\alpha}_{2}-2 \boldsymbol{\alpha}_{3}, \boldsymbol{\alpha}_{3}-2 \boldsymbol{\alpha}_{1}$ $\text{D.}$ $\boldsymbol{\alpha}_{1}+2 \boldsymbol{\alpha}_{2}, \boldsymbol{\alpha}_{2}+2 \boldsymbol{\alpha}_{3}, \boldsymbol{\alpha}_{3}+2 \boldsymbol{\alpha}_{1}$.
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