线性代数教学中网络科学问题的渗透

特征值和特征向量问题是线性代数课程中的一个重要学习内容。为了让学生了解科学前沿问题并提高学习兴趣,在讲授矩阵特征值与特征向量的概念、计算方法和几何意义时,引入复杂网络中节点重要性的排序和同步问题,举例说明特征值和特征向量在其中的应用,以此将网络科学中的研究问题渗透到线性代数的教学中。

The eigenvalue and eigenvector problem is an important learning content in the course of linear algebra. In order to let students understand the frontier issues of science and improve their interest in learning, when introducing the concepts, calculation methods and geometric meanings of matrix eigenvalues and eigenvectors, the problem of ordering and synchronization of node importance in complex networks is introduced, and eigenvalues and eigenvectors are illustrated. In its application, the research problems in network science are infiltrated into the teaching of linear algebra.