Symmetric matrix
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal. So if denotes the entry in the th row and th column then for all indices and Every square diagonal matrix is symmetric, since all off-diagonal elements are zero. Similarly in characteristic different from 2, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.
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15 and 290 theoremsAbstract polytopeAdjacency matrixAlgebraic number fieldAlternating-direction implicit methodArnold's cat mapArnoldi iterationArtin–Tits groupAssociation schemeAugustin-Jean FresnelAutocorrelationAutonne-Takagi factorizationAutonne–Takagi factorizationBDDCBand matrixBendixson's inequalityBeresford ParlettBeta distributionBilinear formBinary matroidBlom's schemeBose–Mesner algebraBounded deformationBunch–Nielsen–Sorensen formulaBézout matrixCartan matrixCartesian tensorCauchy stress tensorCayley transformCellular algebraCentering matrixCentrosymmetric matrixChange of basisChi-square distributionChordal completionCochran's theoremColin de Verdière graph invariantCommon integrals in quantum field theoryCommutation matrixCommuting matrices
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Symmetric matrix
In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix are symmetric with respect to the main diagonal. So if denotes the entry in the th row and th column then for all indices and Every square diagonal matrix is symmetric, since all off-diagonal elements are zero. Similarly in characteristic different from 2, each diagonal element of a skew-symmetric matrix must be zero, since each is its own negative.
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Dalam aljabar linear, matriks ...... n-diagonal utama bernilai nol.
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Een symmetrische matrix is in ...... lijk aan zijn getransponeerde.
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Eine symmetrische Matrix ist i ...... ntinuumsmechanik sind, siehe .
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Em álgebra linear, uma matriz ...... a sua transposta, ou seja, se
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En algèbre linéaire et bilinéa ...... la matrice et n est son ordre.
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En symmetrisk matris är inom l ...... i samma ordning, som kolonn k.
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In algebra lineare, una matric ...... ere la trasposta di se stessa.
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In linear algebra, a symmetric ...... ecial accommodations for them.
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Macierz symetryczna – macierz ...... przy pomocy transpozycji jako
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Matrize simetrikoa n×n element ...... matrize simetriko bat hau da:
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December 2015
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p/s091680
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not referred to in this section
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title
Symmetric matrix
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Dalam aljabar linear, matriks ...... ya jika untuk setiap berlaku .
@in
Een symmetrische matrix is in ...... lijk aan zijn getransponeerde.
@nl
Eine symmetrische Matrix ist i ...... ntinuumsmechanik sind, siehe .
@de
Em álgebra linear, uma matriz ...... a sua transposta, ou seja, se
@pt
En algèbre linéaire et bilinéa ...... la matrice et n est son ordre.
@fr
En symmetrisk matris är inom l ...... i samma ordning, som kolonn k.
@sv
In algebra lineare, una matric ...... ere la trasposta di se stessa.
@it
In linear algebra, a symmetric ...... ince each is its own negative.
@en
Macierz symetryczna – macierz ...... przy pomocy transpozycji jako
@pl
Matrize simetrikoa n×n element ...... matrize simetriko bat hau da:
@eu
label
Macierz symetryczna
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Matrice simmetrica
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Matrice symétrique
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Matriks simetrik
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Matriu simètrica
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Matriz simétrica
@es
Matriz simétrica
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Matrize simetriko
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Simetria matrico
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Symetrická matice
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