How often do determinants over finite fields vanish?

DOI10.1016/0012-365X(87)90217-2zbMath0623.15001OpenAlexW2030231691MaRDI QIDQ1091444

William C. Waterhouse

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0012-365x(87)90217-2

zbMATH Keywords

finite fieldsingular matrixdeterminant zero

Mathematics Subject Classification ID

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

Related Items

Solving linear systems of determinant frequently zero over finite field GF(2) ⋮ Elementary divisors and determinants of random matrices over a local field.

Cites Work

• On the probability that the determinant of an n\(\times n\) matrix over a finite field vanishes
• Limit probabilities for coranks of matrices over GF(q)
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