| 逆矩阵中若干问题的研究 |
| |
| 引用本文： | 陈建梅,张长春,张国强.逆矩阵中若干问题的研究[J].郑州大学学报(工学版),1995(4). |
| |
| 作者姓名： | 陈建梅 张长春 张国强 |
| |
| 作者单位： | 郑州工学院数力系，安阳大学 |
| |
| 摘 要： | 本文首先利用两矩阵的乘法及其相等的定义和克莱姆法则，对ＡＢ＝ＢＡ＝Ｅ＝ＡＢ＝Ｅ（或ＢＡ＝Ｅ）进行了证明。其次将逆矩阵的定义ＡＢ＝ＢＡ＝Ｅ简化为ＡＢ＝Ｅ（或ＢＡ＝Ｅ）后，又证明了逆矩阵存在的必要充分条件及唯一性。
|
| 关 键 词： | 复方阵，两矩阵的乘法及相等，转置矩阵，克莱姆法则，逆矩阵，行列式 |
Research of Several Questions in Inverse Matrix |
| |
| Chen Jianmei,Zhang Changchun,Zhang Guoqiang.Research of Several Questions in Inverse Matrix[J].Journal of Zhengzhou University: Eng Sci,1995(4). |
| |
| Authors: | Chen Jianmei Zhang Changchun Zhang Guoqiang |
| |
| Affiliation: | Chen Jianmei;Zhang Changchun;Zhang Guoqiang(ZhengZhou Institute of Technology)(Anyang University)(Zhengzhou Institute of Technology) |
| |
| Abstract: | By using Cramer's rule and definition of matrix mtiltiplication and matrix equality,this paper proves the equivalence of AB = BA=E and AB=E(or BA =E).After the deflnition of inverse matrix is modified to AB=E(or BA=E),the paper proves the necessary and sufficient co ndition of invers e matrix's existence. |
| |
| Keywords: | Complex square matrix transpose matrix matrix mtiltiplication and matrix equality Grammer's rule inverse matrix determinant |
| 本文献已被 CNKI 等数据库收录！ |
