线性相关性若干问题的分析和研究

Some issues of the linear dependence analysis and research

线性相关性是线性代数的重点和难点,该文主要针对线性相关性判定,以及与线性相关性密切联系的线性空间和线性变换的几个重要问题,即向量组极大无关组、秩、基、维数,齐次线性方程组的基础解系,线性空间的子空间的求法,子空间的交与和,线性变换的值域与核等问题进行了深入细致的分析和研究。

Linear dependence is the key and difficult point in the lin ear algebra,This paper,linear dependence analysis and research.in linear space and linear transformation some important of the problems.The problems are linear dependence judgment,Vector group maximum impertinent groups,rank,base,dimension,homogeneous linear equations of the basic solutions,space,space cap and sum,range and nuclear of of linear transformations.