设向量组 $\boldsymbol{\alpha}_1, \boldsymbol{\alpha}_2, \boldsymbol{\alpha}_3$ 线性无关，则下列向量组中线性无关的是
A
$\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_3-\boldsymbol{\alpha}_1$ ．
B
$\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2, \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, \boldsymbol{\alpha}_1+2 \boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3$ ．
C
$\boldsymbol{\alpha}_1+2 \boldsymbol{\alpha}_2, 2 \boldsymbol{\alpha}_2+3 \boldsymbol{\alpha}_3, 3 \boldsymbol{\alpha}_3+\boldsymbol{\alpha}_1$ ．
D
$\boldsymbol{\alpha}_1+\boldsymbol{\alpha}_2+\boldsymbol{\alpha}_3, 2 \boldsymbol{\alpha}_1-3 \boldsymbol{\alpha}_2+22 \boldsymbol{\alpha}_3, 3 \boldsymbol{\alpha}_1+5 \boldsymbol{\alpha}_2-5 \boldsymbol{\alpha}_3$.
E
F