非唯一解线性方程组的同解变换与几何分析  

The Same Solution Transformation and Geometric Analysis of Non-unique Solution Linear Equations

作　　者：王书营[1] 高崚嶒[1] WANG Shu-ying;GAO Ling-cheng(Nanjing Institute of Industry Technology,Nanjing 210023,China)

机构地区：[1]南京工业职业技术学院公共基础课部,江苏南京210023

出　　处：《南京工业职业技术学院学报》2018年第2期29-32,共4页Journal of Nanjing Institute of Industry Technology

基　　金：南京工业职业技术学院2015年度科技创新团队项目(编号:TK15-05-01)

摘　　要：依据线性方程的几何特征建立了线性方程组与空间平面间的对应关系,阐述了无限多解线性方程组在同解变换过程中的平面运动形式,给出表现无限多解的参数向量表示方法,分析了线性方程组无解的原因,结合方程组内部结构特点,给出求满足局部条件无限多解的方法。This paper,according to the geometrical characteristics of the linear equation,sets up the corresponding relationship between system of linear equations and space,expounds the form of planar motion of the infinitely many solutions of linear equations in the process of the same solution transformation,presents a parameter vector representation method of an infinite number of solutions,analyses the reasons of no solution of the linear equations,and in combination with the characteristics of the internal structure of equations give a method of infinitely many solutions to meet local conditions.

关 键 词：线性方程组 非唯一解 旋转平面 

分 类 号：O182[理学—数学]