线性代数公式汇总

行列式

$\begin{aligned} & \large |A^T|=|A|; \quad\quad\quad\quad |kA|=k^n|A|;\\ & \large |AB|=|A||B|; \quad\quad\quad\quad |A^*|=|A|^{n-1};\\ & \large |A^{-1}|=|A|^{-1}=\frac{1}{|A|}; \quad\quad\quad\quad A\sim B \longrightarrow |A|=|B|.\\ \end{aligned}$