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

DOI10.1080/03081087.2020.1750546zbMath1490.15010OpenAlexW3015225094MaRDI QIDQ5065542

Felipe da Silva Alves, André Pierro de Camargo

Publication date: 22 March 2022

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1750546

zbMATH Keywords

determinantal identitiesadjugate matrixCauchy-Sylvester compound determinant

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24)

Cites Work

• Unnamed Item
• Can Sylvester's determinantal identity, equivalently Muir's law of extensible minors be generalized?
• Properties of Pfaffians
• On identities satisfied by minors of a matrix
• A generalization of Mühlbach's extension principle for determinantal identities
• On some determinantal identities formation laws

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