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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 Transpose ： ウィキペディア英語版 Transpose :''This article is about the transpose of a matrix. For other uses, see Transposition'' :''Note that this article assumes that matrices are taken over a commutative ring. These results may not hold in the non-commutative case.'' In linear algebra, the transpose of a matrix A is another matrix AT (also written A′, Atr, tA or At) created by any one of the following equivalent actions: * reflect A over its main diagonal (which runs from top-left to bottom-right) to obtain AT * write the rows of A as the columns of AT * write the columns of A as the rows of AT Formally, the ''i'' th row, ''j'' th column element of AT is the ''j'' th row, ''i'' th column element of A: :$()\_\; =\; ()\_$ If A is an matrix then AT is an matrix. The transpose of a matrix was introduced in 1858 by the British mathematician Arthur Cayley.〔Arthur Cayley (1858) ("A memoir on the theory of matrices," ) ''Philosophical Transactions of the Royal Society of London'', 148 : 17-37. The transpose (or "transposition") is defined on page 31.〕 == Examples == *$\backslash begin$ 1 & 2 \end^ 1 \\ 2 \end *$\backslash begin$ 1 & 2 \\ 3 & 4 \end^ 1 & 3 \\ 2 & 4 \end * $$ \begin 1 & 2 \\ 3 & 4 \\ 5 & 6 \end^ 1 & 3 & 5\\ 2 & 4 & 6 \end 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「Transpose」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.