强仿射线性相关性与强线性相关性

摘要

In this paper,the concept of linear dependence in linear algebra is further studied and the concept of strongly affine linear dependence is introduced on the basis of the affine linear dependence and strongly linear dependence.The characteristic descriptions and some important properties of strongly affine linear dependence are obtained.Also,the relations between strongly affine linear dependence,affine linear dependence,strongly linear dependence and linear dependence are given.%对线性代数中线性相关的概念进行了进一步的研究,在仿射线性相关和强线性相关的基础上引入了强仿射线性相关的概念,并对强仿射线性相关进行了刻画,得到了强仿射线性相关的若干重要性质,给出了强仿射线性相关、仿射线性相关、强线性相关、线性相关之间的关系,