# characteristic polynomial

characteristic polynomial
The determinant, of a matrix minus an indeterminant times the identity matrix

The characteristic polynomial of is .

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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

• characteristic polynomial — būdingasis daugianaris statusas T sritis fizika atitikmenys: angl. characteristic polynomial vok. charakteristisches Polynom, n rus. характеристический многочлен, m; характеристический полином, m pranc. polynôme caractéristique, m …   Fizikos terminų žodynas

• 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

• 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 — (from the Greek word for a property or attribute (= trait) of an entity) may refer to: In physics and engineering, any characteristic curve that shows the relationship between certain input and output parameters, for example: I V or current… …   Wikipedia

• Characteristic equation — may refer to: Characteristic equation (calculus), used to solve linear differential equations Characteristic equation, a characteristic polynomial equation in linear algebra used to find eigenvalues Characteristic equation, a polynomial used to… …   Wikipedia

• Polynomial matrix — Not to be confused with matrix polynomial. A polynomial matrix or sometimes matrix polynomial is a matrix whose elements are univariate or multivariate polynomials. A λ matrix is a matrix whose elements are polynomials in λ. A univariate… …   Wikipedia

• Polynomial — In mathematics, a polynomial (from Greek poly, many and medieval Latin binomium, binomial [1] [2] [3], the word has been introduced, in Latin, by Franciscus Vieta[4]) is an expression of finite length constructed from variables (also known as… …   Wikipedia

• characteristic equation — noun : an equation in which the characteristic polynomial of a matrix is set equal to 0 * * * 1. Math. a. the characteristic polynomial of a given matrix, equated to zero. b. Also called auxiliary equation. an equation with one variable and… …   Useful english dictionary