问题
若向量组 $\textcolor{orange}{\alpha_{1}}$, $\textcolor{orange}{\alpha_{2}}$, $\textcolor{orange}{\cdots}$, $\textcolor{orange}{\alpha_{m}}$ 线 性 无 关，则以下关于 $\textcolor{cyan}{\mathbf{r} (\alpha_{1}, \alpha_{2}, \cdots, \alpha_{m})}$ 的结论中， 正 确 的是哪个？选项
[A]. $\mathbf{r} (\alpha_{1}, \alpha_{2}, \cdots, \alpha_{m})$ $=$ $m$[B]. $\mathbf{r} (\alpha_{1}, \alpha_{2}, \cdots, \alpha_{m})$ $\geqslant$ $m$
[C]. $\mathbf{r} (\alpha_{1}, \alpha_{2}, \cdots, \alpha_{m})$ $\leqslant$ $m$
[D]. $\mathbf{r} (\alpha_{1}, \alpha_{2}, \cdots, \alpha_{m})$ $<$ $m$
向量组 $\textcolor{orange}{\alpha_{1}}$, $\textcolor{orange}{\alpha_{2}}$, $\textcolor{orange}{\cdots}$, $\textcolor{orange}{\alpha_{m}}$ 线 性 无 关
$\textcolor{red}{\Leftrightarrow}$
$\textcolor{cyan}{\mathbf{r} (\alpha_{1}, \alpha_{2}, \cdots, \alpha_{m})}$ $\textcolor{red}{=}$ $\textcolor{orange}{m}$