most citedCombinatorial proofs of multivariate Cayley--Hamilton theorems

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Combinatorial proofs of multivariate Cayley--Hamilton theorems

Arvind Ayyer, Naren Sundaravaradan

We give combinatorial proofs of two multivariate Cayley--Hamilton type theorems. The first one is due to Phillips (Amer. J. Math., 1919) involving matrices, of which commu…