数学试题讲解

设

A, B

为

n

阶矩阵，

A^{*}, B^{*}

分别为

A, B

对应的伴随矩阵，分块矩阵

C = (\begin{array}{cc} A & 0 \\ 0 & B \end{array})

, 则

C

的伴随矩阵

C^{*} = ()

(\begin{array}{cc} | A | A^{*} & 0 \\ 0 & | B | B^{*} \end{array})

(\begin{array}{cc} | B | B^{*} & 0 \\ 0 & | A | A^{*} \end{array})

(\begin{array}{cc} | A | B^{*} & 0 \\ 0 & | B | A^{*} \end{array})

(\begin{array}{cc} | B | A^{*} & 0 \\ 0 & | A | B^{*} \end{array})