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The Cayley-Hamilton theorem for supermatrices. (English) Zbl 0777.15006

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)

MSC:

15A24 Matrix equations and identities
15A15 Determinants, permanents, traces, other special matrix functions
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