Absolutely Flat Idempotents
Jonathan M. Groves, Yonatan Harel, Christopher J. Hillar, Charles R. Johnson, Patrick X. Rault
Abstract
A real n-by-n idempotent matrix A with all entries having the same absolute value is called absolutely flat. We consider the possible ranks of such matrices and herein characterize the triples: size, constant, and rank for which such a matrix exists. Possible inequivalent examples of such matrices are also discussed.
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