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
A
$\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3+\boldsymbol{\alpha}_4, \boldsymbol{\alpha}_4+\boldsymbol{\alpha}_1$ 线性无关。
B
$\boldsymbol{\alpha}_1-\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2-\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3-\boldsymbol{\alpha}_4, \boldsymbol{\alpha}_4-\boldsymbol{\alpha}_1$ 线性无关。
C
$\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3+\boldsymbol{\alpha}_4, \boldsymbol{\alpha}_4-\boldsymbol{\alpha}_1$ 线性无关．
D
$\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3-\boldsymbol{\alpha}_4, \boldsymbol{\alpha}_4-\boldsymbol{\alpha}_1$ 线性无关．
E
F