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arXiv:1702.01321 [math.CO]AbstractReferencesReviewsResources

A short note on the order of the Zhang-Liu matrices over arbitrary fields

Leo Betthauser, Josh Hiller

Published 2017-02-04Version 1

We give necessary and sufficient conditions for the Zhang-Liu matrices to be diagonalizable over arbitrary fields and provide the eigen-decomposition when it is possible. We use this result to calculate the order of these matrices over any arbitrary field. This generalizes a result of the second author.

Comments: Keywords: Pascal Matrix, cyclic group orders, eigenvectors, binomial coefficients, finite fields
Categories: math.CO
Subjects: 15B36, 20H30
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