A combinatorial solution to LIMO 2010 question 10
Combinatorics
2010-06-24 v1
Abstract
Problem 10 of the Landelijke Interuniversitaire Mathematische Olympiade 2010 asks for a proof that all matrices in a certain family are nilpotent. Both model solutions prove this using the Cayley-Hamilton theorem. I give a purely combinatorial proof.
Cite
@article{arxiv.1006.4473,
title = {A combinatorial solution to LIMO 2010 question 10},
author = {Stijn Vermeeren},
journal= {arXiv preprint arXiv:1006.4473},
year = {2010}
}