Enumeration of matrices of given rank with submatrices of given rank

DOI10.1016/0024-3795(77)90010-6zbMath0403.15014OpenAlexW1972759654MaRDI QIDQ1256023

John H. Hodges, Leonard Carlitz

Publication date: 1977

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(77)90010-6

zbMATH Keywords

15015Commutator Matrices over Finite Field

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Algebraic systems of matrices (15A30) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Enumeration of matrices with prescribed row and column sums

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