初等变换在向量组的线性相关性中的应用

The Application of Elementary Transformation in the Linear Dependence of Vector Sets

线性方程组的解及向量组的线性相关性是线性代数的核心内容,而初等变换是研究它们的最有力的工具,因此应用好这一工具对学习线性代数非常有帮助;用"提问—总结—举例"的方式给学生阐述了初等变换在向量组的线性相关性中的应用.

The solution to system of linear equations and the linear dependence of vector sets are the core content in linear algebra,and elementary transformation is a powerful tool to research them.Hence,it is very helpful to master the tool for learning linear algebra. This paper states the application of elementary transformation in the linear dependence of vector sets in the way of ＂asking question-summing up-taking example＂.