非齐次线性方程组解集的最大无关组求解  

The Solution of the Solution Set's Maximum Linearly Independent Group of the Nonhomogeneous Linear Equations

作　　者：李云 梅红[1] 刘娟[1] LI Yun;MEI Hong;LIU Juan(School of Science,Bengbu University,Bengbu,233030,Anhui)

机构地区：[1]蚌埠学院理学院,安徽蚌埠233030

出　　处：《蚌埠学院学报》2019年第2期93-96,共4页Journal of Bengbu University

基　　金：安徽省质量工程项目(2016jxtd077);蚌埠学院质量工程项目(2016JYXM18);蚌埠学院教研项目(2017JYXML20)

摘　　要：介绍了n元非齐次线性方程组在无穷多解情况下解集的新结构,并给出了一种求解该方程组解集最大无关组的方法。通过应用举例,对比一般求解方法,得出该方法运算对象单一,更易于理解和掌握。A new structure of the solution set of multi-solution nonhomogeneous linear equations with n unknowns was introduced in the paper,and the method of solving the maximum linearly independent group of the solution set of the equation was given.Through applying examples and comparing the general solution method,the operation object of the method is single and it can be easily understood and mastered.

关 键 词：非齐次线性方程组 秩 解集 最大无关组 

分 类 号：O175.8[理学—数学]