characteristic determinant

  • 1Characteristic polynomial — This article is about the characteristic polynomial of a matrix. For the characteristic polynomial of a matroid, see Matroid. For that of a graded poset, see Graded poset. In linear algebra, one associates a polynomial to every square matrix: its …

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  • 2Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …

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  • 3characteristic polynomial — noun : the determinant of a square matrix in which an arbitrary variable (as x) is subtracted from each of the elements along the principal diagonal * * * Math. an expression obtained from a given matrix by taking the determinant of the… …

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  • 4characteristic polynomial — noun The determinant, of a matrix minus an indeterminant times the identity matrix The characteristic polynomial of is …

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  • 5characteristic polynomial — noun Date: circa 1957 the determinant of a square matrix in which an arbitrary variable (as x) is subtracted from each of the elements along the principal diagonal …

    New Collegiate Dictionary

  • 6characteristic polynomial — Math. an expression obtained from a given matrix by taking the determinant of the difference between the matrix and an arbitrary variable times the identity matrix. [1955 60] * * * …

    Universalium

  • 7determinant — The factor that contributes to the generation of a trait. [L. determans, determining, limiting] allotypic determinants antigenic determinants of allotypes. antigenic d. the particular chemical group of a molecule that determines immunological… …

    Medical dictionary

  • 8characteristic root of a square matrix — noun (mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant • Syn: ↑eigenvalue, ↑eigenvalue of a matrix, ↑eigenvalue of a square matrix • Hypernyms: ↑value …

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  • 9Möbius transformation — Not to be confused with Möbius transform or Möbius function. In geometry, a Möbius transformation of the plane is a rational function of the form of one complex variable z; here the coefficients a, b, c, d are complex numbers satisfying ad − …

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  • 10Orthogonal group — Group theory Group theory …

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