The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an n×n matrix

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Title: The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an n×n matrix
Author: Brooks, Bernard
Abstract: The coefficients of the characteristic polynomial of an n × n matrix are derived in terms of the eigenvalues and in terms of the elements of the matrix. The connection between the two expressions allows the sum of the products of all sets of k eigenvalues to be calculated using cofactors of the matrix.
Description: RIT community members may access full-text via RIT Libraries licensed databases: http://library.rit.edu/databases/
Record URI: http://hdl.handle.net/1850/4686
Publishers URL: http://dx.doi.org/10.1016/j.aml.2005.07.007
Date: 2006-06

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