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In linear algebra, the adjugate, classical adjoint, or adjunct of a square matrix is the transpose of its cofactor matrix.〔 F.R. Gantmacher, ''The Theory of Matrices'' v I (Chelsea Publishing, NY, 1960) ISBN 0-8218-1376-5 , pp 76-89〕 The adjugate has sometimes been called the "adjoint",〔 pp166-168 〕 but today the "adjoint" of a matrix normally refers to its corresponding adjoint operator, which is its conjugate transpose. == Definition == The adjugate of A is the transpose of the cofactor matrix C of A, : In more detail, suppose ''R'' is a commutative ring and A is an matrix with entries from ''R''. * The (''i'',''j'') ''minor'' of A, denoted A''ij'', is the determinant of the matrix that results from deleting row and column of A. * The cofactor matrix of A is the matrix C whose entry is the ''cofactor'' of A, :: * The adjugate of A is the transpose of C, that is, the matrix whose (''i'',''j'') entry is the (''j'',''i'') cofactor of A, ::. The adjugate is defined as it is so that the product of A with its adjugate yields a diagonal matrix whose diagonal entries are det(A), A is invertible if and only if det(A) is an invertible element of ''R'', and in that case the equation above yields : : 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「Adjugate matrix」の詳細全文を読む スポンサード リンク
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