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Replacing minors by linear functions and products in the Cauchy–Sylvester compound and adjugate determinants.

Authors :
de Camargo, André Pierro
Silva Alves, Felipe da
Source :
Linear & Multilinear Algebra. Mar2022, Vol. 70 Issue 5, p909-918. 10p.
Publication Year :
2022

Abstract

We present some closed form expressions for the Cauchy–Sylvester compound determinant and the determinant of the Adjugate matrix when each minor in their expressions is replaced by some linear functions (including the sum) and products of its elements. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*MINORS
*MATRICES (Mathematics)

Details

Language :
English
ISSN :
03081087
Volume :
70
Issue :
5
Database :
Academic Search Index
Journal :
Linear & Multilinear Algebra
Publication Type :
Academic Journal
Accession number :
155832630
Full Text :
https://doi.org/10.1080/03081087.2020.1750546