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- Normal_matrix abstract "In mathematics, a complex square matrix A is normal ifwhere A* is the conjugate transpose of A. That is, a matrix is normal if it commutes with its conjugate transpose.A matrix A with real entries satisfies A*=AT, and is therefore normal if ATA = AAT.Normality is a convenient test for diagonalizability: a matrix is normal if and only if it is unitarily similar to a diagonal matrix, and therefore any matrix A satisfying the equation A*A=AA* is diagonalizable.The concept of normal matrices can be extended to normal operators on infinite dimensional Hilbert spaces and to normal elements in C*-algebras. As in the matrix case, normality means commutativity is preserved, to the extent possible, in the noncommutative setting. This makes normal operators, and normal elements of C*-algebras, more amenable to analysis.".
- Normal_matrix wikiPageID "170366".
- Normal_matrix wikiPageRevisionID "604835539".
- Normal_matrix hasPhotoCollection Normal_matrix.
- Normal_matrix subject Category:Matrices.
- Normal_matrix type Abstraction100002137.
- Normal_matrix type Arrangement107938773.
- Normal_matrix type Array107939382.
- Normal_matrix type Group100031264.
- Normal_matrix type Matrices.
- Normal_matrix type Matrix108267640.
- Normal_matrix comment "In mathematics, a complex square matrix A is normal ifwhere A* is the conjugate transpose of A.".
- Normal_matrix label "Macierz normalna".
- Normal_matrix label "Matrice normale".
- Normal_matrix label "Matrice normale".
- Normal_matrix label "Matriz normal".
- Normal_matrix label "Normal matrix".
- Normal_matrix label "Normale Matrix".
- Normal_matrix label "Normale matrix".
- Normal_matrix label "正規行列".
- Normal_matrix label "正规矩阵".
- Normal_matrix sameAs Normale_Matrix.
- Normal_matrix sameAs Matriz_normal.
- Normal_matrix sameAs Matrice_normale.
- Normal_matrix sameAs Matrice_normale.
- Normal_matrix sameAs 正規行列.
- Normal_matrix sameAs 정규행렬.
- Normal_matrix sameAs Normale_matrix.
- Normal_matrix sameAs Macierz_normalna.
- Normal_matrix sameAs Matriz_normal.
- Normal_matrix sameAs m.016v1x.
- Normal_matrix sameAs Q6852339.
- Normal_matrix sameAs Q6852339.
- Normal_matrix sameAs Normal_matrix.
- Normal_matrix wasDerivedFrom Normal_matrix?oldid=604835539.
- Normal_matrix isPrimaryTopicOf Normal_matrix.