线性方程组解的注记  

A Note on the Solution of System of Linear Equations

作　　者：吴莺[1] 胡吉卉[1] WU Ying;HU Ji-hui(School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中科技大学数学与统计学院

出　　处：《大学数学》2019年第6期100-104,共5页College Mathematics

基　　金：华中科技大学教学研究项目(2015067,2018094);华中科技大学自主创新研究基金(2016YXMS003)

摘　　要：在有无穷解的前提下,找出了m×n型非齐次线性方程组解集的极大线性无关组,并且由一组极大线性无关组构造对应的齐次线性方程组的基础解系.On the premise of having infinitely many solutions,find out the maximum linearly independent group of the solution set of m×n system of non-homogeneous linear equations,and structure the fundamental system of solutions of the corresponding system of homogeneous linear equations from the maximum linearly independent group.

关 键 词：线性方程组 解 基础解系 极大线性无关组 秩 

分 类 号：O151.2[理学—数学]