On the characteristic polynomial of matrices with prescribed rows

• Type: Article in International Scientific Journal
• Date: 1999

Authors

Susana Margarida Figueiredo de Sousa Borges Furtado (Author) FEP; Fernando Silva (Author) Other

Journal

Title: Linear Algebra and Its Applications

Vol. 293

Pages: 51-72

ISSN: 0024-3795

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 9 Citations

ISI Web of Science

Scopus - 10 Citations

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-001-4AR

DOI: 10.1016/s0024-3795(99)00020-8

Abstract (EN): Let A is an element of F-nxn, B is an element of F-nxt, where F is an arbitrary field. We describe the possible characteristic polynomials of [A B], when some of its rows are prescribed and the other rows vary. The characteristic polynomial of [A B] is defined as the largest determinantal divisor (or the product of the invariant factors) of [xI(n) - A - B]. This result generalizes a previous theorem by H. Wimmer [Monasth. Math. 78 (1974) 256-263], which studies the same problem when t = 0.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22