摘要
本文从齐次线性方程组的同解理论、非零解的判定、解空间的维数公式、解空间与系数矩阵行空间的正交性等角度,阐述线性方程组方法在线性代数中的广泛应用.
This paper aims to elaborate the extensive applications of linear systems methods in Linear Algebra from the perspectives of the theory of homogeneous linear systems with the same solution set,the determination of nonzero solutions,the dimension formula of the solution space,and the orthogonality of the solution space and the row space of the coefficient matrix of a linear system.
作者
王丽莎
陈媛
徐运阁
WANG Lisha;CHEN Yuan;XU Yunge(School of Cyber Science and Technology,Hubei University,Wuhan 430062,China;Faculty of Mathematics and Statistics,Hubei University,Hubei Key Laboratory of Applied Mathematics,Wuhan 430062,China)
出处
《高等数学研究》
2024年第1期62-65,84,共5页
Studies in College Mathematics
基金
湖北名师工作室项目与湖北省教研项目(2022196).
关键词
齐次线性方程组
同解
矩阵的秩
正交
homogeneous linear equations
solution space
matrix rank
orthogonality
