求下列向量组的秩及其一个极大无关组，并把其余向量用此极大无关组表示

$$
\begin{aligned}
& \alpha_1=(1,4,0,2), \quad \alpha_2=(2,7,1,3), \quad \alpha_3=(1,-1,2,0), \\
& \alpha_4=(3,10,2,4), \quad \alpha_5=(0,1,-1,1),
\end{aligned}
$$