Urrutia, L. F.; Morales, N. The Cayley-Hamilton theorem for supermatrices. (English) Zbl 0777.15006 J. Phys. A, Math. Gen. 26, No. 9, L441-L447 (1993). The authors propose a definition for the corresponding characteristic polynomial, starting from the expression for the superdeterminant of a supermatrix. It is proved that each supermatrix satisfies its characteristic equation. In some particular cases, the authors are able to construct polynomials of lower degree which are also shown to be multified by the supermatrix. Reviewer: S.Sridhar (Madras) Cited in 2 ReviewsCited in 2 Documents MSC: 15A24 Matrix equations and identities 15A15 Determinants, permanents, traces, other special matrix functions Keywords:Cayley-Hamilton theorem; matrix equations; characteristic polynomial; superdeterminant; supermatrix PDFBibTeX XMLCite \textit{L. F. Urrutia} and \textit{N. Morales}, J. Phys. A, Math. Gen. 26, No. 9, L441--L447 (1993; Zbl 0777.15006) Full Text: DOI