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On the probability that the determinant of an n\(\times n\) matrix over a finite field vanishes

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Publication:801998
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DOI10.1016/0012-365X(84)90013-XzbMath0553.15003OpenAlexW2075319910MaRDI QIDQ801998

N. E. Zubov

Publication date: 1984

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(84)90013-x

zbMATH Keywords

finite fieldGalois fieldprobability that the determinant vanishes


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrices over special rings (quaternions, finite fields, etc.) (15B33)


Related Items

How often do determinants over finite fields vanish?, Determinants and ranks of random matrices over \({\mathbb{Z}}_ m\), Remarks on the probability the determinant of an n\(\times n\)-matrix over a finite field vanishes, Determinants of matrices over commutative finite principal ideal rings, Determinants of some special matrices over commutative finite chain rings, Elementary divisors and determinants of random matrices over a local field.



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