摘要
本文藉助反对称矩阵的合同标准形及化合同标准形的方法,给出了偶数阶反对称矩阵的行列式(即反对称行列式)值的一种规律性计算法,从而得出一些特殊反对称矩阵的行列式的值.
In this paper with the aid of the congruent cananical form of antisymmetric matrix,and the method changing the congruent canonical form, a regular calculating method on the determinant value of antisymmetric matrix with even number order is given. And the determinant values of some speciali antisymmetric matrix are obtained.
关键词
反对称矩阵
反对称行列式
偶数阶
Antisymmetric matrix Antisymmetric determinant Elementary transformation Congruent transformation
