Cramer法则的一个推广

A Generalization of Cramer Rule

本文利用矩阵同余、剩余类环上矩阵可逆及其求逆的方法,将一般数域上线性方程组的Cramer法则推广到剩余类环的线性方程组上.

By using matrix congruences, invertibility of matrix over residue class rings and the method to solve the inverse matrix, this paper generalizes Crarner rule of linear equations over real field to linear equations over residue class rings.