Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416456 | Linear Algebra and its Applications | 2014 | 5 Pages |
Abstract
Let A be an nÃn complex matrix with rank r. It is shown that there are a monomial matrix M and a unitary matrix U such that each of the matrices MA and UA has r distinct non-zero eigenvalues. If H is an irreducible subgroup of GLn(C) and Aâ 0, it is shown that there is an XâH such that XA has at least two distinct eigenvalues.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Grega Cigler, Marjan Jerman,