摘要
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.
出处
《牡丹江教育学院学报》
2008年第1期141-142,共2页
Journal of Mudanjiang College of Education
基金
东华理工学院硕士启动基金科研项目(DHS0415)
关键词
线性方程组
唯一解
克拉默法则
秩
System of linear equations
Single solution,Cramer Rule
Rank