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 APM  Vol.5 No.7 , June 2015
Eigenvectors of Permutation Matrices
M. Isabel Garca-Planas*, M. Dolors Magret
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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.
Keywords: Permutation Matrices, Eigenvalues, Eigenvectors
Cite this paper: Garca-Planas, M. and Magret, M. (2015) Eigenvectors of Permutation Matrices. Advances in Pure Mathematics, 5, 390-394. doi: 10.4236/apm.2015.57038.
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