Table of Contents
ISRN Applied Mathematics
Volume 2011, Article ID 578352, 12 pages
http://dx.doi.org/10.5402/2011/578352
Research Article

On Generalized Rotation Matrices

1Faculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614 Poznań, Poland
2Department of Statistics, Dortmund University of Technology, Vogelpothsweg 87, 44221 Dortmund, Germany

Received 11 March 2011; Accepted 17 April 2011

Academic Editors: D. Kuhl and K. Takaba

Copyright © 2011 Oskar Maria Baksalary and Götz Trenkler. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A general class of matrices, covering, for instance, an important set of proper rotations, is considered. Several characteristics of the class are established, which deal with such notions and properties as determinant, eigenspaces, eigenvalues, idempotency, Moore-Penrose inverse, or orthogonality.