已知 $n$ 阶矩阵 $A, B, C$ 满足 $A B C=0, E$ 为 $n$ 阶单位矩阵, 记矩阵 $\left(\begin{array}{cc}0 & A \\ B C & E\end{array}\right)$, $\left(\begin{array}{cc}A B & C \\ 0 & E\end{array}\right),\left(\begin{array}{cc}E & A B \\ A B & 0\end{array}\right)$ 的秩分别为 $\gamma_1, \gamma_2, \gamma_3$, 则
A. $\gamma_1 \leq \gamma_2 \leq \gamma_3$
B. $\gamma_1 \leq \gamma_3 \leq \gamma_2$
C. $\gamma_3 \leq \gamma_1 \leq \gamma_2$
D. $\gamma_2 \leq \gamma_1 \leq \gamma_3$