已知 $\boldsymbol{A}$ 为 2 阶方阵, 可逆矩阵 $\boldsymbol{P}=(\boldsymbol{\alpha}, \boldsymbol{\beta})$ 使得 $\boldsymbol{P}^{-1} \boldsymbol{A} \boldsymbol{P}=\left[\begin{array}{ll}1 & 0 \\ 0 & 2\end{array}\right], \boldsymbol{Q}=(\boldsymbol{\beta}, \boldsymbol{\alpha})$, 则 $\boldsymbol{Q}^{-1} \boldsymbol{A}^* \boldsymbol{Q}=$
$\text{A.}$
$\text{B.}$
$\text{C.}$
$\text{D.}$