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arxiv: math/0504572 · v1 · submitted 2005-04-28 · 🧮 math.OA

Absolutely Flat Idempotents

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keywords absolutelyflatmatricesmatrixpossibleabsolutecalledcharacterize
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A real $n$-by-$n$ idempotent matrix $A$ with all entries having the same absolute value is called {\it 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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