问题
根据可逆矩阵的性质，$\textcolor{orange}{\left|\boldsymbol{A}^{-1}\right|}$ $\textcolor{orange}{=}$ $\textcolor{orange}{?}$选项
[A]. $\left|\boldsymbol{A}^{-1}\right|$ $=$ $|\boldsymbol{A}|$[B]. $\left|\boldsymbol{A}^{-1}\right|$ $=$ $\frac{-1}{|\boldsymbol{A}|}$
[C]. $\left|\boldsymbol{A}^{-1}\right|$ $=$ $\frac{1}{|\boldsymbol{A}|}$
[D]. $\left|\boldsymbol{A}^{-1}\right|$ $=$ $\frac{1}{|\boldsymbol{A^{-1}}|}$
$\left|\boldsymbol{\textcolor{orange}{A}}^{\textcolor{cyan}{-1}}\right|$ $=$ $\frac{\textcolor{red}{1}}{|\boldsymbol{\textcolor{orange}{A}}|}$