科数网
题号:714    题型:单选题    来源:1994年全国硕士研究生招生统一考试数学试题及详细参考解答(数一)
已知向量组 $\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \boldsymbol{\alpha}_{3}, \boldsymbol{\alpha}_{4}$ 线性无关, 则向量组
$\text{A.}$ $ {\alpha}_{1}+ {\alpha}_{2}, {\alpha}_{2}+ {\alpha}_{3}, {\alpha}_{3}+ {\alpha}_{4}, {\alpha}_{4}+ {\alpha}_{1}$ 线性无关. $\text{B.}$ $ {\alpha}_{1}- {\alpha}_{2}, {\alpha}_{2}- {\alpha}_{3}, {\alpha}_{3}- {\alpha}_{4}, {\alpha}_{4}- {\alpha}_{1}$ 线性无关. $\text{C.}$ $ {\alpha}_{1}+ {\alpha}_{2}, {\alpha}_{2}+ {\alpha}_{3}, {\alpha}_{3}+ {\alpha}_{4}, {\alpha}_{4}- {\alpha}_{1}$ 线性无关. $\text{D.}$ $ {\alpha}_{1}+ {\alpha}_{2}, {\alpha}_{2}+ {\alpha}_{3}, {\alpha}_{3}- {\alpha}_{4}, {\alpha}_{4}- {\alpha}_{1}$ 线性无关.
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