A combinatorial solution to LIMO 2010 question 10

Details A combinatorial solution to LIMO 2010 question 10 A combinatorial solution to LIMO 2010 question 10

2010-06-23

arxiv.org/abs/1006.4473v1

Mathematics

Combinatorics

Scientific paper

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.

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