工科研究生矩阵论课程的实践应用研究

Practical Application of Matrix Theory for Engineering Postgraduate Students

摘要: 本文凝练了作者在工科研究生矩阵论教学中关于应用研究的一些实际做法，首先从方阵的特征值与特征向量的定义出发，结合专业背景探索了特征值与特征向量在信息检索、机械振动以及图像压缩等方面的应用，加深学生对特征值与特征向量涵义的理解，培养学生的创新实践意识，提升学生学以致用的能力。

Abstract: This paper summarized some of the author’s practical approaches to applied research in the teaching of matrix theory. Starting from the definition of eigenvalue & eigenvector of square matrix and combined with professional background, this paper explores the application of eigenvalue & eigenvector in information retrieval, mechanical vibration and image compression etc. This design deepens students’ understanding of the meaning of eigenvalue & eigenvectors, cultivates students’ awareness of innovation practice, and enhances students’ ability to apply what they have learned.