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- Conjugate_transpose abstract "In mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, bedaggered matrix, or adjoint matrix of an m-by-n matrix A with complex entries is the n-by-m matrix A* obtained from A by taking the transpose and then taking the complex conjugate of each entry (i.e., negating their imaginary parts but not their real parts). The conjugate transpose is formally defined bywhere the subscripts denote the i,j-th entry, for 1 ≤ i ≤ n and 1 ≤ j ≤ m, and the overbar denotes a scalar complex conjugate. (The complex conjugate of , where a and b are reals, is .)This definition can also be written aswhere denotes the transpose and denotes the matrix with complex conjugated entries.Other names for the conjugate transpose of a matrix are Hermitian conjugate, or transjugate. The conjugate transpose of a matrix A can be denoted by any of these symbols: or , commonly used in linear algebra (sometimes pronounced as "A dagger"), universally used in quantum mechanics , although this symbol is more commonly used for the Moore–Penrose pseudoinverseIn some contexts, denotes the matrix with complex conjugated entries, and the conjugate transpose is then denoted by or .".
- Conjugate_transpose wikiPageID "217548".
- Conjugate_transpose wikiPageRevisionID "605400526".
- Conjugate_transpose hasPhotoCollection Conjugate_transpose.
- Conjugate_transpose id "4382".
- Conjugate_transpose id "p/a010850".
- Conjugate_transpose title "Adjoint matrix".
- Conjugate_transpose title "Conjugate Transpose".
- Conjugate_transpose title "Conjugate transpose".
- Conjugate_transpose urlname "ConjugateTranspose".
- Conjugate_transpose subject Category:Linear_algebra.
- Conjugate_transpose subject Category:Matrices.
- Conjugate_transpose type Abstraction100002137.
- Conjugate_transpose type Arrangement107938773.
- Conjugate_transpose type Array107939382.
- Conjugate_transpose type Group100031264.
- Conjugate_transpose type Matrices.
- Conjugate_transpose type Matrix108267640.
- Conjugate_transpose comment "In mathematics, the conjugate transpose, Hermitian transpose, Hermitian conjugate, bedaggered matrix, or adjoint matrix of an m-by-n matrix A with complex entries is the n-by-m matrix A* obtained from A by taking the transpose and then taking the complex conjugate of each entry (i.e., negating their imaginary parts but not their real parts).".
- Conjugate_transpose label "Adjungierte Matrix".
- Conjugate_transpose label "Conjugado transposto".
- Conjugate_transpose label "Conjugate transpose".
- Conjugate_transpose label "Matrice adjointe".
- Conjugate_transpose label "Matrice trasposta coniugata".
- Conjugate_transpose label "Matriz traspuesta conjugada".
- Conjugate_transpose label "Sprzężenie hermitowskie macierzy".
- Conjugate_transpose label "Эрмитово-сопряжённая матрица".
- Conjugate_transpose label "مرافق منقولة مصفوفة".
- Conjugate_transpose label "共轭转置".
- Conjugate_transpose label "随伴行列".
- Conjugate_transpose sameAs Adjungierte_Matrix.
- Conjugate_transpose sameAs Matriz_traspuesta_conjugada.
- Conjugate_transpose sameAs Matrice_adjointe.
- Conjugate_transpose sameAs Matrice_trasposta_coniugata.
- Conjugate_transpose sameAs 随伴行列.
- Conjugate_transpose sameAs 켤레전치.
- Conjugate_transpose sameAs Sprzężenie_hermitowskie_macierzy.
- Conjugate_transpose sameAs Conjugado_transposto.
- Conjugate_transpose sameAs m.01fvx5.
- Conjugate_transpose sameAs Q6532724.
- Conjugate_transpose sameAs Q6532724.
- Conjugate_transpose sameAs Conjugate_transpose.
- Conjugate_transpose wasDerivedFrom Conjugate_transpose?oldid=605400526.
- Conjugate_transpose isPrimaryTopicOf Conjugate_transpose.