本文旨在探讨如何在线性代数课程中融入思想政治教育。以线性方程组为例，通过引导学生学习线性方程组知识点的同时深入思考线性方程组背后的历史起源、数学原理和实际应用，同时引导学生认识到线性方程组在现代科技和经济发展中的广泛应用，从而增强学生的社会责任感和爱国主义情感，培养学生的创新精神和创新思维。本文响应高校课程思政建设的号召，为线性代数教学探索一种新的教学模式，以更好地服务于国家和社会的发展需求。

This article aims to explore how to integrate ideological and political education into the linear algebra course. Taking linear equations as an example, it guides students to deepen their understanding of the historical origins, mathematical principles, and practical applications behind linear equations while learning the knowledge points of linear equations. Meanwhile, it leads students to recognize the extensive applications of linear equations in modern technology and economic development, thereby enhancing students' sense of social responsibility and patriotism, cultivating their innovative spirit and innovative thinking. This paper responds to the call for ideological and political construction in university curriculum, and explores a new teaching mode for linear algebra teaching to better serve the development needs of the country and society.