题目

设 $A$ 是 $n\left({n \geq 3}\right)$ 阶可逆方阵，则下列结论中正确的是$\underline{\qquad}$.
(1) ${\left({A}^{ * }\right) }^{-1} = {\left({A}^{-1}\right) }^{ * }$
(2) ${\left(kA\right) }^{ * } = {k}^{n - 1}{A}^{ * }\left({k \neq 0}\right)$
(3) ${\left({A}^{ * }\right) }^{T} = {\left({A}^{T}\right) }^{ * }$
(4) ${\left({A}^{ * }\right) }^{ * } = {\left| A\right| }^{n - 2}A$

A.
(1)
(2)
B.
(2)
(3)
C.
(3)
(4)
D.
(1)
(2)
(3)
(4)