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K-行正交矩阵的一些性质

贾书伟 何承源

安庆师范学院学报:自然科学版2011,Vol.17Issue(4):97-100,4.
安庆师范学院学报:自然科学版2011,Vol.17Issue(4):97-100,4.

K-行正交矩阵的一些性质

Some Properties of the K-Row Orthogonal Matrices

贾书伟 1何承源1

作者信息

  • 1. 西华大学数学与计算机学院,四川成都610039
  • 折叠

摘要

Abstract

We introduce the concept of K-row orthogonal matrix and discuss its determinant,reversibility,trace,elgenvalue problems.Then we obtain the following results that K-row orthogonal matrix is ranks of the symmetric matrix,which itself and its transpose rows and columns transposed matrix is invertible;all transpose matrix of K-row orthogonal matrix,and its transpose rows and columns transposed matrix are still k-row orthogonal matrix;K-row orthogonal matrix transpose matrix of rows is equal to the inverse matrix transpose,the columns transposed matrix of columns equal to the inverse matrix transpose;its row transpose a matrix is equal to the transposed matrix transpose row,its column transpose a matrix is equal to its transposed matrix transpose columns.

关键词

矩阵/正交矩阵/k-行正交矩阵/行列对称矩阵

Key words

matrix/orthogonal matrix/K-row orthogonal matrix/row(column) symmetric matrix

分类

数理科学

引用本文复制引用

贾书伟,何承源..K-行正交矩阵的一些性质[J].安庆师范学院学报:自然科学版,2011,17(4):97-100,4.

基金项目

西华大学应用数学校重点学科(NO.ZXD0910-09-1)项目资助 ()

安庆师范学院学报:自然科学版

1007-4260

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