设矩阵 $\boldsymbol{A}=\left(\begin{array}{lll}0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1\end{array}\right), \boldsymbol{B}=\left(\begin{array}{lll}1 & 0 & 0 \\ 0 & 0 & 1 \\ 0 & 1 & 0\end{array}\right), \boldsymbol{C}=\left(\begin{array}{rrr}1 & -4 & 3 \\ 2 & 0 & 1 \\ 1 & -2 & 0\end{array}\right)$, 求矩阵 $\boldsymbol{X}$, 使满足等式 $\boldsymbol{A} \boldsymbol{X} \boldsymbol{B}=\boldsymbol{C}$.