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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 Compound matrix ： ウィキペディア英語版 Compound matrix In mathematics, the ''k''th compound matrix (sometimes referred to as the ''k''th ''multiplicative'' compound matrix) $C\_k(A)$,〔R.A. Horn and C.R. Johnson, ''Matrix Analysis'', Cambridge University Press, 1990, pp. 19–20〕 of an $m\backslash times\; n$ matrix ''A'' is the $\backslash binom\; m\; k\backslash times\; \backslash binom\; n\; k$ matrix formed from the determinants of all $k\backslash times\; k$ submatrices of ''A'', i.e., all $k\backslash times\; k$ minors, arranged with the submatrix index sets in lexicographic order. : $$ \begin C_1(A) & = A \\() C_n(A) & = \det(A)\textA\textn\times n \\() C_k(AB) & = C_k(A)C_k(B) \\() C_k(aX) & = a^kC_k(X) \\() \text n\times n \text I, C_k(I) & = I\,, \text\textstyle \text\\() C_k(A^T) & = C_k(A)^T\,, \text \\() C_k(A^ *) & = C_k(A)^ *\,, \text \mathbb \\() C_k(A^) & = C_k(A)^\,, \text n\times n, \text A \end ==References== 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「Compound 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.