设 $\boldsymbol{A}, \boldsymbol{B}$ 都是可逆矩阵，则分块矩阵 $X=\left(\begin{array}{cc}
A & 0 \\
0 & B
\end{array}\right)$ 逆矩阵为
A
$\left(\begin{array}{cc}0 & A^{-1} \\ B^{-1} & 0\end{array}\right)$
B
$\left(\begin{array}{cc}0 & B^{-1} \\ A^{-1} & 0\end{array}\right)$
C
$\left(\begin{array}{cc}A^{-1} & 0 \\ 0 & B^{-1}\end{array}\right)$
D
$\left(\begin{array}{cc}B^{-1} & 0 \\ 0 & A^{-1}\end{array}\right)$
E
F