【摘要】 线性方程组是高等代数的重要组成部分.从介绍线性方程组的基本问题入手，深入研究线性方程组的基本解法，通过案例重点论述线性方程组在代数几何中的应用，即利用线性方程组确定特征子空间、讨论平面间的几何特征等，同时探究线性方程组的思政教学.更多还原

【Abstract】 Linear equations is an important part of higher algebra.Starting with the introduction of the basic problems of linear equations, this paper deeply studies the basic solution of linear equations, and focuses on the application of linear equations in algebraic geometry through cases, that is, using linear equations to determine the characteristic subspace, using linear equations to discuss the geometric characteristics between planes, etc.At the same time, this paper explores the ideological and political education of linear equations.更多还原