What does characteristic polynomial mean?
Definitions for characteristic polynomial
char·ac·ter·is·tic poly·no·mi·al
This dictionary definitions page includes all the possible meanings, example usage and translations of the word characteristic polynomial.
Wiktionary
characteristic polynomialnoun
The determinant, of a matrix minus an indeterminant times the identity matrix
Wikipedia
Characteristic polynomial
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. In spectral graph theory, the characteristic polynomial of a graph is the characteristic polynomial of its adjacency matrix.
Wikidata
Characteristic polynomial
In linear algebra, every square matrix is associated with a characteristic polynomial. This polynomial encodes several important properties of the matrix, most notably its eigenvalues, its determinant and its trace. The characteristic polynomial of a graph is the characteristic polynomial of its adjacency matrix. It is a graph invariant, though it is not complete: the smallest pair of non-isomorphic graphs with the same characteristic polynomial have five nodes.
Numerology
Chaldean Numerology
The numerical value of characteristic polynomial in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of characteristic polynomial in Pythagorean Numerology is: 8
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"characteristic polynomial." Definitions.net. STANDS4 LLC, 2024. Web. 29 Apr. 2024. <https://www.definitions.net/definition/characteristic+polynomial>.
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