行反正交矩阵的中心对称性  

Centrosymmetry of the Contrary Orthogonal 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,成都610039

出　　处：《重庆师范大学学报（自然科学版）》2012年第1期67-70,共4页Journal of Chongqing Normal University:Natural Science

基　　金：西华大学校级重点项目(No.ZXD0910-09-1)

摘　　要：给出行反正交矩阵的概念,并着重研究它的中心对称性,得出了以下主要结果:行反正交矩阵是行列对称矩阵;行反正交矩阵是中心对称矩阵;行反正交矩阵的转置矩阵以及它的行转置和列转置矩阵都是中心对称矩阵;行反正交矩阵的行转置矩阵的逆矩阵等于它的逆矩阵的行转置,行反正交矩阵的列转置矩阵的逆矩阵等于它的逆矩阵的列转置;行反正交矩阵的行转置矩阵的转置等于它的转置矩阵的行转置,行反正交矩阵的列转置矩阵的转置等于它的转置矩阵的列转置。This paper gives the concept of the contrary orthogonal matrix and studies its centrosymmetry, and obtains the following main results： the contrary orthogonal matrix is row column symmetric matrix and centrosymmetric matrix; cross the row anyway, the matrix transpose matrix and its transpose rows and colmnns transposed matrix is centrosymmetric matrix; cross the row anyway, rows of the matrix transpose inverse of a matrix of rows equal to its inverse transpose, the transpose column inverse of a matrix is equal to its inverse columns of the matrix transpose ; its row transpose matrix transpose is equal to its transpose rows of the matrix transpose, its columns of transpose matrix is equal to its transpose matrix of columns.

关 键 词：:矩阵 行反正交矩阵 行列对称矩阵 中心对称矩阵 

分 类 号：O151.21[理学—数学]