设 $\boldsymbol{A}, \boldsymbol{B}$ 为 $n(n \geqslant 2)$ 阶矩阵, 则下列说法中, 错误的是
A. $\left(\begin{array}{ll}\boldsymbol{A} & \boldsymbol{O} \\ \boldsymbol{O} & \boldsymbol{B}\end{array}\right)$ 与 $\left(\begin{array}{ll}\boldsymbol{B} & \boldsymbol{O} \\ \boldsymbol{O} & \boldsymbol{A}\end{array}\right)$ 相似.
B. $\left(\begin{array}{ll}\boldsymbol{O} & \boldsymbol{A} \\ \boldsymbol{B} & \boldsymbol{O}\end{array}\right)$ 与 $\left(\begin{array}{ll}\boldsymbol{O} & \boldsymbol{B} \\ \boldsymbol{A} & \boldsymbol{O}\end{array}\right)$ 相似.
C. $\left(\begin{array}{ll}\boldsymbol{A} & \boldsymbol{O} \\ \boldsymbol{O} & \boldsymbol{B}\end{array}\right)$ 与 $\left(\begin{array}{ll}\boldsymbol{O} & \boldsymbol{A} \\ \boldsymbol{B} & \boldsymbol{O}\end{array}\right)$ 相似.
D. $\left(\begin{array}{ll}\boldsymbol{A} & \boldsymbol{O} \\ \boldsymbol{O} & \boldsymbol{B}\end{array}\right)$ 与 $\left(\begin{array}{cc}\boldsymbol{A} & \boldsymbol{B}-\boldsymbol{A} \\ \boldsymbol{O} & \boldsymbol{B}\end{array}\right)$ 相似.