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A Generalization of the Cayley-Hamilton Theorem

Author(s): Raj Kumar Kanwar

Journal: Advances in Pure Mathematics
ISSN 2160-0368

Volume: 03;
Issue: 01;
Start page: 109;
Date: 2013;
Original page

Keywords: Polynomial Matrix | Square Matrix | Non-Singular Matrix | Adjoint of a Matrix | Leading Coefficient Matrix

It is proposed to generalize the concept of the famous classical Cayley-Hamilton theorem for square matrices wherein for any square matrix A, the det (A-xI) is replaced by det f(x) for arbitrary polynomial matrix f(x).