characteristic determinant

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• Characteristic 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 …   Wikipedia

• Determinant — 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… …   Wikipedia

• characteristic 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… …   Useful english dictionary

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

• characteristic 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

• characteristic 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

• determinant — 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

• characteristic 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 …   Useful english dictionary

• Möbius 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 − …   Wikipedia

• Orthogonal group — Group theory Group theory …   Wikipedia

• Cayley–Hamilton theorem — In linear algebra, the Cayley–Hamilton theorem (named after the mathematicians Arthur Cayley and William Hamilton) states that every square matrix over the real or complex field satisfies its own characteristic equation.More precisely; if A is… …   Wikipedia