On the singularity of random matrices with independent entries

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dc.creatorBruneau, Laurent
dc.creatorGerminet, Francois
dc.date2008-01-08
dc.date.accessioned2026-07-07T08:53:17Z
dc.date.available2026-07-07T08:53:17Z
dc.descriptionWe consider n by n real matrices whose entries are non-degenerate random variables that are independent but non necessarily identically distributed, and show that the probability that such a matrix is singular is O(1/sqrt{n}). The purpose of this note is to provide a short and elementary proof of this fact using a Bernoulli decomposition of arbitrary non degenerate random variables.
dc.descriptionto be published in the Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/0801.1221
dc.identifierhttp://arxiv.org/abs/0801.1221
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145564
dc.subjectProbability
dc.subject15A52, 60C05
dc.titleOn the singularity of random matrices with independent entries
dc.typetext

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