问题
已知,$n$ 个 $n$ 维向量 $\textcolor{orange}{\boldsymbol{\alpha}_{1}}$, $\textcolor{orange}{\boldsymbol{\alpha}_{2}}$, $\textcolor{orange}{\cdots}$, $\textcolor{orange}{\boldsymbol{\alpha}_{n}}$ 线 性 无 关 ,则行列式 $\textcolor{cyan}{\left|\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \cdots, \boldsymbol{\alpha}_{n}\right|}$ 具有什么特点?选项
[A]. $\left|\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \cdots, \boldsymbol{\alpha}_{n}\right|$ $>$ $0$[B]. $\left|\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \cdots, \boldsymbol{\alpha}_{n}\right|$ $=$ $0$
[C]. $\left|\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \cdots, \boldsymbol{\alpha}_{n}\right|$ $\neq$ $0$
[D]. $\left|\boldsymbol{\alpha}_{1}, \boldsymbol{\alpha}_{2}, \cdots, \boldsymbol{\alpha}_{n}\right|$ $>$ $1$