TITLE:
Eigenvectors of Permutation Matrices
AUTHORS:
M. Isabel Garca-Planas, M. Dolors Magret
KEYWORDS:
Permutation Matrices, Eigenvalues, Eigenvectors
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.7,
May
29,
2015
ABSTRACT: The spectral properties of
special matrices have been widely studied, because of their applications. We
focus on permutation matrices over a finite field and, more concretely, we
compute the minimal annihilating polynomial, and a set of linearly independent
eigenvectors from the decomposition in disjoint cycles of the permutation
naturally associated to the matrix.