设 $A, B$ 为 $n$ 阶可逆矩阵, $E$ 为 $n$ 阶单位矩阵, $M$ 为矩阵 $M$ 的伴随矩阵, 则 $\left(\begin{array}{ll}A & E \\ O & B\end{array}\right)^*= $
A. $\left(\begin{array}{cc}|A| B^* & -B^* A^*\\ 0 & A^* B^*\end{array}\right)$
B. $\left(\begin{array}{cc}|A| B^* & -A^* B^* \\ 0 & |B| A^*\end{array}\right)$
C. $\left(\begin{array}{cc}|B| A^* & -B^* A^* \\ 0 & |A| B^*\end{array}\right)$
D. $\left(\begin{array}{cc}|B| A^* & -A^* B^* \\ 0 & |A|^*\end{array}\right)$