Determinants forn×nmatrices and the symmetric Newton formula in the 3 × 3 case

DOI10.1080/03081087.2013.806919zbMath1309.15014arXiv1210.5061OpenAlexW1998431730MaRDI QIDQ2926006

Jenő Szigeti, Leon van Wyk

Publication date: 29 October 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5061

zbMATH Keywords

symmetric determinant\(\mathbb{Z}_{2}\)-gradedCayley-Hamilton identitiessymmetric \(3\times 3\) Newton trace formula

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Endomorphism rings; matrix rings (16S50) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24)

Related Items

Integrality over fixed rings of automorphisms in a Lie nilpotent setting ⋮ On Lie Nilpotent Rings and Cohen's Theorem ⋮ Matrix representations of finitely generated Grassmann algebras and some consequences. ⋮ A power Cayley-Hamilton identity for \(n \times n\) matrices over a Lie nilpotent ring of index \(k\)

Cites Work

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• Quaternionic determinants
• Quasideterminants
• Solving systems of linear equations over lie nilpotent rings
• On a concept of determinant in the supercase
• New determinants and the Cayley-Hamilton Theorem for matrices over Lie nilpotent rings

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