Displaying similar documents to “Proof of the combinatorial nullstellensatz over integral domains, in the spirit of Kouba.”

Generalized matrix functions and determinants

Mohammad Jafari, Ali Madadi (2014)

Open Mathematics

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In this paper we prove that, up to a scalar multiple, the determinant is the unique generalized matrix function that preserves the product or remains invariant under similarity. Also, we present a new proof for the known result that, up to a scalar multiple, the ordinary characteristic polynomial is the unique generalized characteristic polynomial for which the Cayley-Hamilton theorem remains true.