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Generalized matrix functions and determinants

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Jafari M., Madadi A.

Open Mathematics

2014

tom 12

nr 3

464-469

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.

Ograniczanie wyników

1 Open Mathematics

1 Jafari M.

1 Madadi A.

1 2014

Wyniki wyszukiwania

Generalized matrix functions and determinants