| 核空间与像空间构成直和的条件 |
| |
| 引用本文： | 薛晓欢.核空间与像空间构成直和的条件[J].数学学习,2014(1):123-124. |
| |
| 作者姓名： | 薛晓欢 |
| |
| 作者单位： | 太原师范学院计算机系 |
| |
| 摘 要： | 根据线性变换与矩阵之间的联系,利用Jordan标准型给出线性变换的核空间与像空间构成直和的条件,即线性变换的特征值不含零,或以零为特征值的Jordan块均为一阶.
|
| 关 键 词： | 核空间 像空间 直和 Jordan标准型 |
Conditions for Kernel and Image Being Perpendicular |
| |
| XUE Xiaohuan.Conditions for Kernel and Image Being Perpendicular[J].Studies In College Mathematics,2014(1):123-124. |
| |
| Authors: | XUE Xiaohuan |
| |
| Institution: | XUE Xiaohuan;Department of Computer Science and Technology,Taiyuan Normal University; |
| |
| Abstract: | According to the relation between linear transformation and matrix,sufficient conditions for the kernel and image being perpendicular are obtained by using Jordan canonical forms. |
| |
| Keywords: | kernel image direct sum Jordan canonical form |
| 本文献已被 CNKI 维普 等数据库收录！ |
