%0 Journal Article %T Eigenvectors of Permutation Matrices %A M. Isabel Garca-Planas %A M. Dolors Magret %J Advances in Pure Mathematics %P 390-394 %@ 2160-0384 %D 2015 %I Scientific Research Publishing %R 10.4236/apm.2015.57038 %X

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.

%K Permutation Matrices %K Eigenvalues %K Eigenvectors %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=56794