向量组的线性相关性的等价条件及其应用

Equivalent Conditions and Use of Linear Relation of Vector Group

向量组的线性相关性是线性代数中的重要概念 ,也是解决问题的重要的理论根据。本文首先给出了不同的角度下向量组的线性相关性的几个等价条件 ,并通过具体例题分别用不同的解法 ,阐述了在不同理论深度下解决问题的区别。

Linear relation of vector group is an important concept in linear algebra and is also an important theoretical foundation of solving problems. This thesis gives several equivalent conditions of linear relation of vector group from some different points of view, and expatiates upon the differences of solving problems under different levels of the theories, through some concrete examples and in different ways of solving problems.