重庆工商大学学报:自然科学版
重慶工商大學學報:自然科學版
중경공상대학학보:자연과학판
Journal of Chongqing Technology and Business University:Natural Science Edition
2012年
5期
24-27
,共4页
矩阵%正交矩阵%行正交矩阵%中心对称矩阵
矩陣%正交矩陣%行正交矩陣%中心對稱矩陣
구진%정교구진%행정교구진%중심대칭구진
matrix%orthogonal matrix%row orthogonal matrix%center symmetric matrix
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。
給齣行正交矩陣和中心對稱矩陣的概唸,併討論行正交矩陣的可逆性、中心對稱性等問題;結果錶明:行正交矩陣的轉置矩陣仍是行正交矩陣;行正交矩陣是中心對稱矩陣;行正交矩陣的轉置矩陣以及它的行轉置和列轉置矩陣都是中心對稱矩陣;其逆矩陣和伴隨矩陣也是中心對稱矩陣;若榦箇行正交矩陣的和仍是中心對稱矩陣。
급출행정교구진화중심대칭구진적개념,병토론행정교구진적가역성、중심대칭성등문제;결과표명:행정교구진적전치구진잉시행정교구진;행정교구진시중심대칭구진;행정교구진적전치구진이급타적행전치화렬전치구진도시중심대칭구진;기역구진화반수구진야시중심대칭구진;약간개행정교구진적화잉시중심대칭구진。
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