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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 Proofs involving the Moore–Penrose pseudoinverse ： ウィキペディア英語版 Proofs involving the Moore–Penrose pseudoinverse (詳細はreal numbers or the field $\backslash mathbb$, of complex numbers. Then there is a unique ''n''-by-''m'' matrix $A^+$ over $\backslash mathbb$, such that: # ''A A+A = A'' # ''A+A A+ = A+'' # ''(AA+) * = AA+'' # ''(A+A) * = A+A'' ''A+'' is called the Moore-Penrose pseudoinverse of ''A''. Notice that A is also the Moore-Penrose pseudoinverse of ''A+'' . That is, (''A+'' )''+'' = A. ==Useful lemmas== These results are used in the proofs below. In the following lemmas, ''A'' is a matrix with complex elements and ''n'' columns, ''B'' is a matrix with complex elements and ''n'' rows. 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「Proofs involving the Moore–Penrose pseudoinverse」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.