Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498242 | Linear Algebra and its Applications | 2005 | 7 Pages |
Abstract
We prove an inequality relating the number of nontrivial invariant factors of n Ã n matrices A and B, with those of AB, and get some results on the cases of equality. In particular, we characterize the similarity classes, A and B, with all eigenvalues in the base field, such that AB is nilpotent for some AâA and BâB.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
E. Marques de Sá, Yu Lin Zhang,