Article ID Journal Published Year Pages File Type
9498242 Linear Algebra and its Applications 2005 7 Pages PDF
Abstract
We prove an inequality relating the number of nontrivial invariant factors of n × 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 A∈A and B∈B.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the number of invariant factors of matrix products
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