线性代数提高行列式linear-algebra-3:线性代数:1:一-行列式和矩阵:选择题:25:25选择题不看本题本题讨论已掌握查看解析收入错题#11024设 A,BA,BA,B 为 nnn 阶可逆矩阵, EEE 为 nnn 阶单位矩阵, M∗{M}^{ * }M∗ 为矩阵 MMM 的伴随矩阵,则 (AEOB)∗={\left(\begin{matrix} A & E \\ O & B \end{matrix}\right) }^{ * } =(AOEB)∗=‾\underline{\qquad}A. (∣A∣B∗−B∗A∗O∣B∣A∗)\left(\begin{matrix} \left| A\right| {B}^{ * } & - {B}^{ * }{A}^{ * } \\ O & \left| B\right| {A}^{ * } \end{matrix}\right)(∣A∣B∗O−B∗A∗∣B∣A∗)B. (∣A∣B∗−A∗B∗O∣B∣A∗)\left(\begin{matrix} \left| A\right| {B}^{ * } & - {A}^{ * }{B}^{ * } \\ O & \left| B\right| {A}^{ * } \end{matrix}\right)(∣A∣B∗O−A∗B∗∣B∣A∗)C. (∣B∣A∗−B∗A∗O∣A∣B∗)\left(\begin{matrix} \left| B\right| {A}^{ * } & - {B}^{ * }{A}^{ * } \\ O & \left| A\right| {B}^{ * } \end{matrix}\right)(∣B∣A∗O−B∗A∗∣A∣B∗)D. (∣B∣A∗−A∗B∗O∣A∣B∗)\left(\begin{matrix} \left| B\right| {A}^{ * } & - {A}^{ * }{B}^{ * } \\ O & \left| A\right| {B}^{ * } \end{matrix}\right)(∣B∣A∗O−A∗B∗∣A∣B∗)