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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bisymmetric matrix ： ウィキペディア英語版 Bisymmetric matrix In mathematics, a bisymmetric matrix is a square matrix that is symmetric about both of its main diagonals. More precisely, an ''n'' × ''n'' matrix ''A'' is bisymmetric if it satisfies both ''A = AT'' and ''AJ = JA'' where ''J'' is the ''n'' × ''n'' exchange matrix. For example: :$\backslash begin$ a & b & c & d & e \\ b & f & g & h & d \\ c & g & i & g & c \\ d & h & g & f & b \\ e & d & c & b & a \end. ==Properties== Bisymmetric matrices are both symmetric centrosymmetric and symmetric persymmetric. It has been shown that real-valued bisymmetric matrices are precisely those symmetric matrices whose eigenvalues are the same up to sign after pre or post multiplication by the exchange matrix. The product of two bisymmetric matrices results in a centrosymmetric matrix 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Bisymmetric matrix」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.