A Generalization of the Cayley-Hamilton Theorem

Raj Kumar Kanwar

Department of Mathematics and Statistics, Himachal Pradesh University, Shimla, India.

DOI: 10.4236/apm.2013.31014                

Abstract

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).

Keywords

Polynomial Matrix; Square Matrix; Non-Singular Matrix; Adjoint of a Matrix; Leading Coefficient Matrix

Conflicts of Interest

The authors declare no conflicts of interest.

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