行列式计算的分块方法教学研讨

Teaching Seminar on Block Method of Determinant Calculation

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.