Trace (linear algebra)
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A. The trace of a matrix is the sum of its (complex) eigenvalues (counted with multiplicities), and it is invariant with respect to a change of basis. This characterization can be used to define the trace of a linear operator in general. The trace is only defined for a square matrix (n × n). The trace is related to the derivative of the determinant (see Jacobi's formula).
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Trace (linear algebra)
In linear algebra, the trace of a square matrix A, denoted tr(A), is defined to be the sum of elements on the main diagonal (from the upper left to the lower right) of A. The trace of a matrix is the sum of its (complex) eigenvalues (counted with multiplicities), and it is invariant with respect to a change of basis. This characterization can be used to define the trace of a linear operator in general. The trace is only defined for a square matrix (n × n). The trace is related to the derivative of the determinant (see Jacobi's formula).
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Aljebra linealean, matrize kar ...... zutabean dagoen elementua den.
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Dalam aljabar linear, teras (j ...... runan dari determinan (lihat )
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Die Spur (Spurfunktion, Spurab ...... Körpererweiterungen verwendet.
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En algèbre linéaire, la trace ...... rs sur des espaces de Hilbert.
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En àlgebra lineal, la traça d' ...... ma i a la columna j-èsima d'A.
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En álgebra lineal, la traza de ...... otra base ortonormal se tiene:
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In algebra lineare, si definis ...... non dipende dalla base scelta.
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In de lineaire algebra, een de ...... e -de rij en -de kolom van is.
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In linear algebra, the trace o ...... minant (see Jacobi's formula).
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Na álgebra linear, o traço de ...... adradas A e B da mesma ordem).
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Trace of a square matrix
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Aljebra linealean, matrize kar ...... zutabean dagoen elementua den.
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Dalam aljabar linear, teras (j ...... egi (matriks berukuran n × n).
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Die Spur (Spurfunktion, Spurab ...... Körpererweiterungen verwendet.
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En algèbre linéaire, la trace ...... ce dans n'importe quelle base.
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En àlgebra lineal, la traça d' ...... ma i a la columna j-èsima d'A.
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En álgebra lineal, la traza de ...... otra base ortonormal se tiene:
@es
In algebra lineare, si definis ...... non dipende dalla base scelta.
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In de lineaire algebra, een de ...... e -de rij en -de kolom van is.
@nl
In linear algebra, the trace o ...... minant (see Jacobi's formula).
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Na álgebra linear, o traço de ...... adradas A e B da mesma ordem).
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Aztarna (aljebra)
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Spoor (lineaire algebra)
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Spur (Mathematik)
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Spuro (lineara algebro)
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Spår (matematik)
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Stopa (algebra)
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Teras (aljabar linear)
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Traccia (matrice)
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Trace (algèbre)
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Trace (linear algebra)
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