向量组线性相关性的教学方法与技巧

Teaching of the Linear Dependence of Vector Family

向量组线性相关性是线性代数教学中的一项重要内容.由于概念比较抽象、定理难以理解,因此一直是线性代数教学环节中的一项难点.通过对向量组线性相关性的定义以及判断方法进行了形象的描述,建立向量组线性相关性与矩阵、线性方程组之间的关系,有利于学生理解向量组线性相关性的真正内涵与简便求解方法.

Because of the abstract definition and confusing theorems, it＇s very difficult to teach linear dependence/independence of a vector family. The relationship among a vector family, a matrix, and a linear system is dug up, which is helpful for students to understand the meaning and master the solving method of linear dependence/independence of a vector family.