A Simple Proof of a Generalized Cauchy–Binet Theorem

A Simple Proof of a Generalized Cauchy–Binet Theorem

The Cauchy–Binet theorem is the main step in proving the multiplicative property of compound matrices. We present here a novel elementary proof of a generalization of the Cauchy–Binet theorem using properties of square matrices.

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Veröffentlicht in:The American mathematical monthly 2016-11, Vol.123 (9), p.928-930
Hauptverfasser: Hoffman, Alan J, Wu, Chai Wah
Format: Artikel
Sprache:eng
Schlagworte:
Coefficients
Linear algebra
Mathematical theorems
Matrices
Matrix
Matrix identities
Polynomials
Proof theory
Theorems
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Beschreibung
Zusammenfassung:The Cauchy–Binet theorem is the main step in proving the multiplicative property of compound matrices. We present here a novel elementary proof of a generalization of the Cauchy–Binet theorem using properties of square matrices.
ISSN:0002-9890
1930-0972
DOI:10.4169/amer.math.monthly.123.9.928