设有$m \times n$的矩阵
$$\begin{equation} A = \left[ \begin{matrix} a_{11},& a_{12},& \cdots,& a_{1n} \ a_{21},& a_{22},& \cdots,& a_{2n} \ \vdots& \vdots& \ddots& \vdots \ a_{m1},& a_{m2},& \cdots,& a_{mn} \end{matrix} \right] = \left[ \begin{matrix}\mathbf{a}_1^r&\\mathbf{a}_2^r&\\vdots&\\mathbf{a}_m^r&\end{matrix} \right] = \left[ \mathbf{a}_1^c, \mathbf{a}_2^c, \cdots, \mathbf{a}_n^c \right] \end{equation},$$$$\begin{equation} A = \lef
