TITLE:
A Generalization of the Cayley-Hamilton Theorem
AUTHORS:
Raj Kumar Kanwar
KEYWORDS:
Polynomial Matrix; Square Matrix; Non-Singular Matrix; Adjoint of a Matrix; Leading Coefficient Matrix
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.1,
January
29,
2013
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).