### Details

#### Title

Cayley-Hamilton theorem for Drazin inverse matrix and standard inverse matrices#### Journal title

Bulletin of the Polish Academy of Sciences: Technical Sciences#### Yearbook

2016#### Numer

No 4 December#### Keywords

General Engineering ; Computer Networks and Communications ; Atomic and Molecular Physics, and Optics ; Artificial Intelligence ; Information Systems#### Divisions of PAS

Nauki Techniczne#### Abstract

AbstractThe classical Cayley-Hamilton theorem is extended to Drazin inverse matrices and to standard inverse matrices. It is shown that knowing the characteristic polynomial of the singular matrix or nonsingular matrix, it is possible to write the analog Cayley-Hamilton equations for Drazin inverse matrix and for standard inverse matrices.#### Publisher

Polish Academy of Sciences#### Date

2016#### Identifier

ISSN 0239-7528, eISSN 2300-1917#### DOI

10.1515/bpasts-2016-0088