设矩阵 $\boldsymbol{A}=\left(\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right)$, 且 $|\boldsymbol{A}|=-2, \boldsymbol{B}=\left(\begin{array}{ccc}a_{31} & a_{32} & a_{33} \\ a_{21}+2 a_{11} & a_{22}+2 a_{12} & a_{23}+2 a_{13} \\ a_{11} & a_{12} & a_{13}\end{array}\right)$, 则 $\boldsymbol{A} \boldsymbol{B}^*=$
A. $\left(\begin{array}{rrr}0 & 0 & 2 \\ 0 & 2 & -4 \\ 2 & 0 & 0\end{array}\right)$.
B. $\left(\begin{array}{rrr}0 & 0 & -2 \\ 0 & -2 & 4 \\ -2 & 0 & 0\end{array}\right)$.
C. $\left(\begin{array}{lll}0 & 0 & 2 \\ 0 & 2 & 4 \\ 2 & 0 & 0\end{array}\right)$.
D. $\left(\begin{array}{rrr}0 & 0 & -2 \\ 0 & -2 & -4 \\ -2 & 0 & 0\end{array}\right)$.