摘要
给出行正交矩阵和中心对称矩阵的概念,并讨论行正交矩阵的可逆性、中心对称性等问题;结果表明:行正交矩阵的转置矩阵仍是行正交矩阵;行正交矩阵是中心对称矩阵;行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;其逆矩阵和伴随矩阵也是中心对称矩阵;若干个行正交矩阵的和仍是中心对称矩阵。
This paper reversibility of row orthogo gives the nal matrix, concept of row orthogonal matrix and center symmetric matrix, discusses the center symmetry and so on, and comes to the conclusions that the transpose matrix of row orthogonal matrix is still row orthogonal matrix, that row orthogonal that the transpose matrix of row orthogonal matrix and its row transpose matrix center symmetric matrix, that its reverse matrix and its accompanying matrix are sum of many row orthogonal matrices is center symmetric matrix. matrix is center symmetric matrix, and column transpose matrix are also center symmetric matrix, the
出处
《重庆工商大学学报（自然科学版）》
2012年第5期24-27,共4页
Journal of Chongqing Technology and Business University:Natural Science Edition
基金
西华大学应用数学校重点学科资助项目(ZXD0910-09-1)
关键词
矩阵
正交矩阵
行正交矩阵
中心对称矩阵
matrix
orthogonal matrix
row orthogonal matrix
center symmetric matrix
