A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of ParsevalÊs identity

1Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

Abstract

We prove the Cauchy-Binet determinantal formula using multilinear algebra by first generalizing it to an identity not involving determinants. By extending the formula to abstract Hilbert spaces we obtain, as a corollary, a generalization of the classical Parseval identity. © 2013 Elsevier Inc.

Cite

CITATION STYLE

APA

Konstantopoulos, T. (2013). A multilinear algebra proof of the Cauchy-Binet formula and a multilinear version of ParsevalÊs identity. Linear Algebra and Its Applications, 439(9), 2651–2658. https://doi.org/10.1016/j.laa.2013.07.009

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free