On the probability that the determinant of an nxn matrix over a finite field vanishe

Mukhopadhyay, A (1984) On the probability that the determinant of an nxn matrix over a finite field vanishe. In: Discrete Mathematics, 51 (3). pp. 311-315.

PDF 6full_text.pdf - Published Version Restricted to Registered users only Download (470kB) | Request a copy

Abstract

An expression is derived for the probability that the determinant of an n x n matrix over a finite field vanishes; from this it is deduced that for a fixed field this probability tends to 1 as n tends to.

Item Type:	Editorials/Short Communications
Publication:	Discrete Mathematics
Publisher:	Elsevier Science B.V
Additional Information:	Copyright for this article belongs to Elsevier Science B.V.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	03 Feb 2010 07:16
Last Modified:	19 Sep 2010 05:32
URI:	http://eprints.iisc.ac.in/id/eprint/20260

Actions (login required)

View Item