• 试题 ID 36587


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
A $\boldsymbol{\alpha}_1-\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2-\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3-\boldsymbol{\alpha}_1$ .
B $\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3+\boldsymbol{\alpha}_1$.
C $\alpha_1-2 \alpha_2, \alpha_2-2 \alpha_3, \alpha_3-2 \alpha_1$ .
D $\boldsymbol{\alpha}_1+2 \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+2 \boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3+2 \boldsymbol{\alpha}_1$
E
F
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解析:

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