A Simple Proof of a Generalized Cauchy–Binet Theorem

DOI10.4169/amer.math.monthly.123.9.928zbMath1391.15020OpenAlexW2544772732WikidataQ58273129 ScholiaQ58273129MaRDI QIDQ4576566

Alan J. Hoffman, Chai Wah Wu

Publication date: 12 July 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.123.9.928

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15)

Cites Work

• Unnamed Item
• Cauchy-Binet for pseudo-determinants
• Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
• The coefficients of the characteristic polynomial in terms of the eigenvalues and the elements of an \(n\times n\) matrix
• Matrix Analysis
• Coefficients of the Characteristic Polynomial

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