A Generalization of the Cayley-Hamilton Theorem - Advances in Pure Mathematics

APM > Vol.3 No.1, January 2013

A Generalization of the Cayley-Hamilton Theorem ()

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DOI: 10.4236/apm.2013.31014 9,401 Downloads 16,727 Views Citations

Author(s)

Raj Kumar Kanwar

Affiliation(s)

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

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

Share and Cite:

R. Kanwar, "A Generalization of the Cayley-Hamilton Theorem," Advances in Pure Mathematics, Vol. 3 No. 1, 2013, pp. 109-115. doi: 10.4236/apm.2013.31014.

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