设向量组 $\alpha_1=(1,-1,2,4), \alpha_2=(0,3,1,2), \alpha_3=(3,0,7,14)$, $\alpha_4=(1,-2,2,4), \alpha_5=(2,1,5,10)$ ,则该向量组的极大线性无关组是
$\text{A.}$ $\alpha_1, \alpha_2, \alpha_3$
$\text{B.}$ $\alpha_1, \alpha_2, \alpha_4$
$\text{C.}$ $\alpha_1, \alpha_2, \alpha_5$
$\text{D.}$ $\alpha_1, \alpha_2, \alpha_4, \alpha_5$