行(列)转置矩阵的性质  

Properties of Row(Column) Transposed Matrix

作　　者：贾书伟[1] 何承源[1] 

机构地区：[1]西华大学数学与计算机学院,四川成都610039

出　　处：《内江师范学院学报》2011年第2期14-16,共3页Journal of Neijiang Normal University

基　　金：西华大学应用数学校重点学科(ZXD0910-09-1)资助项目

摘　　要：给出行(列)转置矩阵与行(列)对称矩阵的概念,并对行(列)转置矩阵的行列式、特征值、可逆性、相似性、对称性等进行了研究,得到n阶实方阵与它的行转置矩阵和列转置矩阵三者具有相同的可逆性、行转置矩阵与列转置矩阵相似以及其它一些相关结果.The concepts of row （column） transposed matrix and row （column） symmetric matrix are given, and problems like the determinant, characteristic, reversibility, similarity and symmetry are also examined. The results show： N-order matrix, together with its transposed matrix of rows and columns, all of the three have the same reversibility; the transposed matrix of rows and the transposed matrix of columns have much in common in similarity, and some other relevant results are obtained.

关 键 词：矩阵 行(列)转置矩阵 行(列)对称矩阵 

分 类 号：O151.21[理学—数学]