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