# Surjectivity of near-square random matrices

@article{Nguyen2019SurjectivityON,
title={Surjectivity of near-square random matrices},
author={Hoi H. Nguyen and Elliot Paquette},
journal={Combinatorics, Probability and Computing},
year={2019},
volume={29},
pages={267 - 292}
}
• Published 30 January 2018
• Mathematics, Computer Science
• Combinatorics, Probability and Computing
Abstract We show that a nearly square independent and identically distributed random integral matrix is surjective over the integral lattice with very high probability. This answers a question by Koplewitz [6]. Our result extends to sparse matrices as well as to matrices of dependent entries.
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