2000 character limit reached
The determinant of the second additive compound of a square matrix: a formula and applications (1806.07162v1)
Published 19 Jun 2018 in math.AC and math.CO
Abstract: A formula is presented for the determinant of the second additive compound of a square matrix in terms of coefficients of its characteristic polynomial. This formula can be used to make claims about the eigenvalues of polynomial matrices, with sign patterns as an important special case. A number of corollaries and applications of this formula are given.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.