Maple数学软件在线性代数教学中的应用

Application of Maple Mathematics Software in Linear Algebra Teaching

摘要: 本文基于Maple数学软件平台，对线性代数课程进行了深入的教学改革与实践探索。通过充分发挥Maple软件强大的数值计算能力，系统性地实现了行列式计算、矩阵求逆、线性方程组求解、矩阵特征分析以及二次型标准化等核心内容的程序化实现。这些精心设计的Maple程序不仅直观展示了线性代数理论的计算过程，更重要的是培养了学生运用现代数学工具解决实际问题的能力。

Abstract: This article is based on the Maple mathematical software platform and conducts in-depth teaching reform and practical exploration of linear algebra courses. By fully utilizing the powerful numerical computing capabilities of Maple software, the systematic implementation of core content such as determinant calculation, matrix inversion, linear equation system solving, matrix feature analysis, and quadratic standardization has been achieved. These carefully designed Maple programs not only visually demonstrate the calculation process of linear algebra theory, but more importantly, cultivate students’ ability to use modern mathematical tools to solve practical problems.