Criterion for linear independence of functions

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dc.creatorRomanovski, Iouri V.
dc.date2009-05-20
dc.date2009-05-22
dc.date.accessioned2026-07-07T13:17:05Z
dc.date.available2026-07-07T13:17:05Z
dc.descriptionUsing a generalization of forward elimination, it is proved that functions $f_1,...,f_n:X\to\mathbb{A}$, where $\mathbb{A}$ is a field, are linearly independent if and only if there exists a nonsingular matrix $[f_i(x_j)]$ of size $n$, where $x_1,...,x_n\in X$.
dc.description6 pages, 0 figures
dc.identifierhttps://arxiv.org/abs/0905.3371
dc.identifierhttp://arxiv.org/abs/0905.3371
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230998
dc.subjectHistory and Overview
dc.subject15A03
dc.titleCriterion for linear independence of functions
dc.typetext

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