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... > algebra > linear algebra > matrix > square matrix > similarity invariance > characteristic polynomial
category theory > morphism > endomorphism > characteristic polynomial
algebra > abstract algebra > morphism > endomorphism > characteristic polynomial

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characteristic polynomial  

Definición

  • In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots. It has the determinant and the trace of the matrix among its coefficients. The characteristic polynomial of an endomorphism of a finite-dimensional vector space is the characteristic polynomial of the matrix of that endomorphism over any base (that is, the characteristic polynomial does not depend on the choice of a basis). The characteristic equation, also known as the determinantal equation, is the equation obtained by equating the characteristic polynomial to zero.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Characteristic_polynomial)

Concepto genérico

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