On some determinantal identities formation laws

DOI10.1080/03081087.2014.972952zbMath1329.15021OpenAlexW2010481931MaRDI QIDQ2943846

André Pierro de Camargo

Publication date: 4 September 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.972952

zbMATH Keywords

Jacobi's identitydeterminantal identitiesSylvester's identitylaw of extensible minorsadjugate matrixlaw of complementaries

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24) Multilinear algebra, tensor calculus (15A69)

Related Items

Replacing minors by linear functions and products in the Cauchy–Sylvester compound and adjugate determinants ⋮ On some determinantal identities formation laws ⋮ Can Sylvester's determinantal identity, equivalently Muir's law of extensible minors be generalized?

Cites Work

• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• On extending determinantal identities
• A generalization of Sylvester's identity on determinants and some applications
• A general determinantal identity of Sylvester type and some applications
• A generalization of Mühlbach's extension principle for determinantal identities