Surjectivity of near-square random matrices

  title={Surjectivity of near-square random matrices},
  author={Hoi H. Nguyen and Elliot Paquette},
  journal={Combinatorics, Probability and Computing},
  pages={267 - 292}
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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