Elementary Transformations of Matrices and Solutions of Systems of Linear Equations in a Geometric Perspective

本文从几何视角下分析矩阵的初等变换与线性方程组的解，并用GeoGebra软件进行展示，从而为教师教学提供直观教学素材，对于培养学生数学结合思想，提升学生几何直观、空间观念、抽象能力等核心素养具有重要意义。This paper analyses the solutions of elementary transformations of matrices and systems of linear equations from a geometrical point of view and demonstrates them with GeoGebra software, so as to provide teachers with intuitive teaching materials, which is of great significance for cultivating students’ ideas of mathematical integration and enhancing their core qualities such as geometrical intuition, spatial conception and abstraction ability.