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关于线性代数中的秩
引用本文:聂学建.关于线性代数中的秩[J].职大学报,2013(4):69-71,65.
作者姓名:聂学建
作者单位:湖南高速铁路职业技术学院,湖南省衡阳市,421001
摘    要:"秩"是线性代数中的一个很重要的概念,在其自身体系中除了常被用作理论基础之外,一个重要的实际用途是用于判断线性方程组有解还是无解,有唯一解还是有无穷多组解。对于高职院校的学生来说,在秩的概念与它的实际用途之间建立强有力的联系,是必须而且必要的。

关 键 词:向量组  线性相(无)关  初等变换  矩阵的秩  高斯消元法  线性方程组

Linear Algebra in the Rank
Nie Xuejian.Linear Algebra in the Rank[J].Journal of the Staff and Worker's University,2013(4):69-71,65.
Authors:Nie Xuejian
Institution:Nie Xuejian (Hunan Technical College of Railway High-Speed, Hengyang, Hunan 421001 )
Abstract:"Rank" is a very important concept in linear algebra. Its own system as a theoretic base is essentially and practically used to judge if the linear equations have solutions or not, or single solution or infinite number of solutions. For students in higher vocational colleges it is significant to set up a connection between the concept of rank and its practice.
Keywords:Vector group  Linear phase (no) shut  Elementary transformation  Matrixrank  Gaussian elimination method  linear equations
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