K-行正交矩阵及其可交换性  

K-row orthogonal matrix and its exchangeability

作　　者：贾书伟[1] 何承源[1] 王应选[1] 于海平[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：《河南城建学院学报》2011年第6期52-54,共3页Journal of Henan University of Urban Construction

摘　　要：给出K-行正交矩阵的概念,并讨论K-行正交矩阵的行列式、可逆性、可交换性等问题,得出:K-行正交矩阵是行列对称矩阵;若干个K-行正交矩阵之和与其行转置矩阵可交换,若干个K-行正交矩阵之和与其列转置矩阵也可交换;若干个K-行正交矩阵之差与其行转置矩阵可交换,若干个K-行正交矩阵之差与其列转置矩阵也可交换等结论.The concept of K-row orthogonal matrix is given,and the determinant,reversibility,interchangeable and other issues were discussed,the conclusions are as follows： K-row orthogonal matrix is symmetric matrix;a number of K-row orthogonal matrix and its transpose matrix exchangeable line,a number of K-row orthogonal matrix and its transpose matrix columns are interchangeable;number of K-row difference to its line orthogonal matrix transpose matrix commutative.A number of K-row differences between the orthogonal matrixes transpose matrix with columns and other findings are also interchangeable.

关 键 词：矩阵 行列对称矩阵 K-行正交矩阵 可交换性 

分 类 号：O151.21[理学—数学]