| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4601638 | Linear Algebra and its Applications | 2010 | 5 Pages |
Abstract
Every square complex matrix is known to be consimilar to a real matrix. Unitary congruence is a particular type of consimilarity. We prove that a matrix A∈Mn(C) is unitarily congruent to a real matrix if and only if A is unitarily congruent to via a symmetric unitary matrix. It is shown by an example that there exist matrices that are congruent, but not unitarily congruent, to real matrices.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
