A bijective proof of Muir's identity and the Cauchy-Binet formula

DOI10.1016/0024-3795(93)90371-TzbMath0772.15004WikidataQ114215278 ScholiaQ114215278MaRDI QIDQ2365694

Zeng, Jiang

Publication date: 29 June 1993

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

zbMATH Keywords

determinantspermanentsCauchy-Binet formulaMuir's identity

Mathematics Subject Classification ID

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

Related Items

A bijective proof of generalized Cauchy–Binet, Laplace, Sylvester and Dodgson formulas ⋮ Hausdorff and box dimensions of self-affine sets in a locally compact non-Archimedean field ⋮ Unnamed Item ⋮ A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of Parseval's identity ⋮ Improved hitting set for orbit of ROABPs ⋮ A formalization of the Smith normal form in higher-order logic

Cites Work

• Unnamed Item
• A combinatorial approach to matrix algebra
• A generalization of permanents and determinants
• Some algebraic identities concerning determinants and permanents
• Laguerre Polynomials, Weighted Derangements, and Positivity
• The β‐Extension of the Multivariable Lagrange Inversion Formula