设 $\boldsymbol{A}, \boldsymbol{B}$ 均为 2 阶矩阵, $\boldsymbol{A}^{\cdot}, \boldsymbol{B}^{\cdot}$ 分别为 $\boldsymbol{A}, \boldsymbol{B}$ 的伴随矩阵.若 $|\boldsymbol{A}|=2,|\boldsymbol{B}|=3$ ,则分块矩阵 $\left(\begin{array}{ll}\boldsymbol{O} & \boldsymbol{A} \\ \boldsymbol{B} & \boldsymbol{O}\end{array}\right)$ 的伴随矩阵为
A
$\left(\begin{array}{cc}\boldsymbol{O} & 3 \boldsymbol{B}^* \\ 2 \boldsymbol{A}^* & \boldsymbol{O}\end{array}\right)$ .
B
$\left(\begin{array}{cc}\boldsymbol{O} & 2 \boldsymbol{B}^{\boldsymbol{\boldsymbol { *}}} \\ 3 \boldsymbol{A}^{\boldsymbol{*}} & \boldsymbol{O}\end{array}\right)$ .
C
$\left(\begin{array}{cc}\boldsymbol{O} & 3 \boldsymbol{A}^* \\ 2 \boldsymbol{B}^* & \boldsymbol{O}\end{array}\right)$ .
D
$\left(\begin{array}{cc}\boldsymbol{O} & 2 \boldsymbol{A}^* \\ 3 \boldsymbol{B}^* & \boldsymbol{O}\end{array}\right)$ .
E
F