On the probability that the product of k n\(\times n\) matrices over a finite field will be zero
type: Item
instance of: scholarly article
title: On the probability that the product of k n\(\times n\) matrices over a finite field will be zero
zbMATH Open document ID: 0679.05005
DOI: 10.1016/0097-3165(87)90019-7
author: Amos Kovacs
published in: Journal of Combinatorial Theory. Series A
publication date: 1987-01-01T00:00:00Z
review text: The aim of this paper is to compute the number p(n,k) defined by the title. As a matter of fact we shall accomplish somewhat more, and compute the probability that the product of kn\(\times n\) matrices over a finite field is of rank r.
Mathematics Subject Classification ID: 05A99
zbMATH DE Number: 4112593
MaRDI profile type: Publication
full work available at URL: 0097-3165(87)90019-7
OpenAlex ID: W2076700823
cites work: Q3050437
cites work: Q5592270
cites work: On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions
cites work: Q3669422
Recommended article: On the probability that the determinant of an n\(\times n\) matrix over a finite field vanishes
Recommended article: Remarks on the probability the determinant of an n\(\times n\)-matrix over a finite field vanishes
Recommended article: THE PROBABILITY OF ZERO MULTIPLICATION IN FINITE RINGS
Recommended article: Some probabilities for eigenvalues of matrices with entries in finite fields
Recommended article: Some new results in random matrices over finite fields
Recommended article: Q5115411
Recommended article: Products of matrices over a finite field
Recommended article: On the distribution of permanents of matrices over finite fields
Recommended article: Non-asymptotic bounds for probabilities of the rank of a random matrix over a finite field
Recommended article: Random matrix theory over finite fields
description: scientific article; zbMATH DE number 4112593