摘要
"线性空间上的线性变换完全被它在一组基上的作用唯一确定"是线性代数中的一个重要结论.文章对这个结论做了推广,得到线性空间上任何两个向量组之间存在线性变换的充分必要条件.
It is an important conclusion of linear algebra that the linear transformation is completely and uniquely determined by its action on the base of linear space.This article popularizes this conclusion,and obtains the sufficient and necessary conditions on which a linear transformation exists between any two vectors of the linear space.
出处
《重庆三峡学院学报》
2011年第3期22-24,共3页
Journal of Chongqing Three Gorges University
关键词
线性空间
线性变换
向量组
充分必要条件
linear space
linear transform
vectors
sufficient and necessary condition
