ISSN:
1573-0530
Keywords:
15A75
;
15A90
;
81T60
;
83E99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract Starting from the expression for the superdeterminant of (xI - M), whereM is an arbitrary supermatrix, we propose a definition for the corresponding characteristic polynomial and we prove that each supermatrix satisfies its characteristic equation. Depending upon the factorization properties of the basic polynomials whose ratio defines the superdeterminant, we are able to construct polynomials of lower degree which are also shown to be annihilated by the supermatrix.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00750663
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