克拉默(Cramer)法则的推广及Matlab实现

The Promotion of Cramer Rule and Its Implementation In Matlab

在《线性代数》中,对于系数矩阵A是方阵的线性方程组Ax=b,当其有唯一解的时候,能利用克拉默法则求解。但当A不是矩阵,克拉默法则则无能为力。本文利用矩阵之间秩的关系,将克拉默法则进行推广,使其能求解任意有唯一解的线性方程组,并在Matlab中得以实现。

In 'Linear Algebra',system of linear equations can be solved by means of Cramer Rule when its coefficient matrix is a square matrix and it has a single solution.But it is powerless for Cramer Rule to solve the system of linear equations.This paper promotes Cramer Rule and makes it solve the arbitrary system of linear equations as long as it has a single solution and implements it in Matlab.