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bn:01474429n

Noun Concept

Categories: Articles with permanently dead external links, Linear algebra, Articles with short description, Polynomials, All Wikipedia articles written in American English

characteristic polynomial characteristic equation characteristic polynomial of a graph Charpoly secular determinant

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. Wikipedia

Definitions

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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. Wikipedia

A polynomial associated with a square matrix in linear algebra Wikipedia Disambiguation

Polynomial with roots that are the eigenvalues of a given matrix Wikidata

The polynomial produced from a given square matrix by first subtracting the appropriate identity matrix multiplied by an indeterminant and then calculating the determinant. Wiktionary

Linear algebra. Wiktionary (translation)

The characteristic polynomial of ( 1 4 3 − 5 ) is | 1 − x 4 3 − 5 − x | = x 2 + 4 x − 17 . Wiktionary

The characteristic polynomial of a 2 × 2 matrix M is λ 2 − tr ( M ) λ + det ( M ) , where tr ( M ) denotes the trace of M and det ( M ) denotes the determinant of M. Wiktionary

The characteristic polynomial of a 3 × 3 matrix M is − λ 3 + tr ( M ) λ 2 − tr ( adj ( M ) ) λ + det ( M ) , where adj ( M ) denotes the adjugate of M. Wiktionary

IS A

polynomial

HAS KIND

invariants of tensors

CALCULATED FROM

determinant

square matrix

DIFFERENT FROM

characteristic equation

minimal polynomial

Wikipedia

characteristic polynomial