线性映射的值域与核的结构定理及其应用  

Structure Theorem for Range and Kernel of Linear Mapping and Its Applications

作　　者：安军[1] AN Jun(School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,China)

机构地区：[1]重庆工商大学数学与统计学院

出　　处：《高等数学研究》2019年第4期74-76,共3页Studies in College Mathematics

基　　金：重庆市教委自然科学基金项目(KJ130705);重庆工商大学教改项目(2018214)

摘　　要：本文利用同构关系与解析方法研究了值域与核的基和维数,弄清了值域与核的几何结构,通常的维数公式是其推论,然后列举若干例子阐明其应用.In this paper,the bases and dimensions of range and kernel are investigated by using the isomorphism and the analytic methods.The geometric structure of range and kernel are also found which yields the dimension formula.Several examples are given to illustrate its application.

关 键 词：线性映射 线性变换 值域 核 

分 类 号：O151.2[理学—数学] G642[理学—基础数学]