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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 Skew-Hermitian ： ウィキペディア英語版 Skew-Hermitian An $n$ by $n$ complex or real matrix $A\; =\; (a\_)\_$ is said to be anti-Hermitian, skew-Hermitian, or said to represent a skew-adjoint operator, or to be a skew-adjoint matrix, on the complex or real $n$ dimensional space $K^n$, if its adjoint is the negative of itself: :$A^$ *=-A. Note that the adjoint of an operator depends on the scalar product considered on the $n$ dimensional complex or real space $K^n$. If $(\backslash cdot|\backslash cdot)$ denotes the scalar product on $K^n$, then saying $A$ is skew-adjoint means that for all $u,v\; \backslash in\; K^n$ one has $(Au|v)\; =\; -\; (u|Av)\; \backslash ,\; .$ In the particular case of the canonical scalar products on $K^n$, the matrix of a skew-adjoint operator satisfies $a\_\; =\; -\; \_$ for all $1\; \backslash leq\; i,j\; \backslash leq\; n$. Imaginary numbers can be thought of as skew-adjoint (since they are like 1-by-1 matrices), whereas real numbers correspond to self-adjoint operators. ==See also== * Skew-Hermitian 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「Skew-Hermitian」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.