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全转置正交矩阵的几个性质
引用本文:郭华.全转置正交矩阵的几个性质[J].重庆工商大学学报(自然科学版),2013,30(3):32-34.
作者姓名:郭华
作者单位:重庆工商大学数学与统计学院 400067
摘    要:给出了全转置矩阵和全转置正交矩阵的定义,从矩阵元素的结构上研究了全转置正交矩阵,给出了全转置正交矩阵的3个充分必要条件.

关 键 词:全转置矩阵  全转置正交矩阵  伴随矩阵  代数余子式

Several Properties of the Full-Transposed Orthogonal Matrix
GUO Hua.Several Properties of the Full-Transposed Orthogonal Matrix[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2013,30(3):32-34.
Authors:GUO Hua
Institution:GUO Hua (School of Mathematics and Statistics,Chongqing Technology and Business University, Chongqing 400067,China)
Abstract:The definitions of the full-transposed matrix and full-transposed orthogonal matrix are given in this article. By studying the full-transposed orthogonal matrix from the aspect of elemental structure, several necessary and sufficient conditions of this type of matrix are given.
Keywords:full-transposed matrix  full-transposed orthogonal matrix  adjoint matrix  algebraic cofactor
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