Spectral and weak polynomial completeness for the product of nonsingular matrices
Let F be a field with at least four elements. In this paper, we identify all the pairs (A, B) of n x n nonsingular matrices over F, satisfying the following property: for every monic polynomial f (x) = x(n) + a(n-1)x(n-1) +... + a(1)x + a(0) over F, with a root in F and a(0) = (-1)(n) det(AB), there...
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| Format: | article |
| Language: | eng |
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2016
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| Online Access: | http://hdl.handle.net/10400.21/6003 |
| Country: | Portugal |
| Oai: | oai:repositorio.ipl.pt:10400.21/6003 |