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
$\text{A.}$ $\left(\begin{array}{cc}0 & A^{-1} \\ B^{-1} & 0\end{array}\right)$
$\text{B.}$ $\left(\begin{array}{cc}0 & B^{-1} \\ A^{-1} & 0\end{array}\right)$
$\text{C.}$ $\left(\begin{array}{cc}A^{-1} & 0 \\ 0 & B^{-1}\end{array}\right)$
$\text{D.}$ $\left(\begin{array}{cc}B^{-1} & 0 \\ 0 & A^{-1}\end{array}\right)$
$\text{E.}$
$\text{F.}$