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On the characteristic polynomial of matrices with prescribed rows

โœ Scribed by Susana Furtado; Fernando C. Silva


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
228 KB
Volume
293
Category
Article
ISSN
0024-3795

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โœฆ Synopsis


Let e P p nร‚n , f P p nร‚t , where F is an arbitrary ยฎeld. We describe the possible characteristic polynomials of e f, when some of its rows are prescribed and the other rows vary. The characteristic polynomial of e f is deยฎned as the largest determinantal divisor (or the product of the invariant factors) of xs n ร€ e ร€ f. This result generalizes a previous theorem by H. Wimmer [Monasth. Math. 78 (1974) 256ยฑ263], which studies the same problem when t 0.


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