伴随矩阵性质证明的一种新方法

A New Method to Prove Properties of Adjoint Matrix

定义了矩阵的旋转运算和矩阵的加符号因子运算,证明这两种运算的若干性质。利用这些性质定理研究了伴随矩阵,得到了伴随矩阵的一些重要性质。推广和改进了关于伴随矩阵的已有结论,丰富和完善了伴随矩阵的相关理论。

The rotation operation of matrix and the plus sign factor operation of matrix are defined.Some properties of these two operations of matrix are proved.The adjoint matrix is studied by these property theorems,and many important properties of adjoint matrix are obtained.This method extends and improves the existing conclusions about adjoint matrix,and enriches and perfects the theory of adjoint matrix.