行列式计算的分块方法教学研讨  

Teaching Seminar on Block Method of Determinant Calculation

作　　者：王启明[1] 时正华[1] WANG Qiming;SHI Zhenghua(School of Mathematics,Hohai University,Nanjing,Jiangsu 210098)

机构地区：[1]河海大学数学学院,江苏南京210098

出　　处：《武夷学院学报》2023年第12期94-98,共5页Journal of Wuyi University

基　　金：江苏省“十四五”高等教育科学研究规划课题重点课题(ZDDY16);江苏省高校“大学生劳动教育”“基础课程群”专项重点课题(2021JDKT017);江苏省高等教育教改研究立项课题重点项目(2021JSJG090);河海大学教学研究与改革实践项目《以生为本,融合育人,“新工科”建设背景下线性代数课程教学改革与实践》。

摘　　要：行列式计算一直是《线性代数》教学中的难点和重点。分块方法相对直观,被很多学生作为常规行列式计算方法,但常由于不知分块法适用条件而易犯错。本文主要总结行列式计算的分块常用思路,探讨借助于分块方法化简行列式计算的教学方法。从典型直觉形态、使用条件出发,采用正反例教学方式,步进式引导学生理解和掌握高阶行列式计算方法。Determinant calculation is always the difficulty and key point in the teaching of Linear Algebra.The block method is relatively intuitive and is regarded by many students as a conventional determinant calculation method,but it is easy to make mistakes in the application without knowing the applicable conditions.This paper mainly discusses the teaching method of block method of determinant calculation,starting from the typical form,using conditions,using positive and negative example teaching method,step guide students to understand and master the block method of determinant calculation.

关 键 词：行列式计算 分块方法 步进式教学 

分 类 号：O151.21[理学—数学]