On Generalized Rotation Matrices | Zendy

Oskar Maria Baksalary | Zendy; Götz Trenkler | Zendy

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On Generalized Rotation Matrices

Author(s) -

Oskar Maria Baksalary,

Götz Trenkler

Publication year - 2011

Publication title -

isrn applied mathematics

Language(s) - English

Resource type - Journals

eISSN - 2090-5572

pISSN - 2090-5564

DOI - 10.5402/2011/578352

Subject(s) - orthogonality , idempotence , mathematics , class (philosophy) , eigenvalues and eigenvectors , pure mathematics , set (abstract data type) , rotation (mathematics) , inverse , matrix (chemical analysis) , rotation matrix , combinatorics , algebra over a field , geometry , computer science , physics , artificial intelligence , materials science , quantum mechanics , composite material , programming language

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.

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