Skew-symmetric matrices and their principal minors

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Skew-symmetric matrices and their principal minors

Boussaïri, Abderrahim; Chergui, Brahim

Linear algebra and its applications, 11/2015, Volume: 485

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In this article, we study the following problem. Given a positive integer k, what is the relationship between two matrices with entries in a field K and having equal corresponding principal minors of order at most k? Our main theorem improves a result of Loewy 13 for skew-symmetric matrices all of whose off-diagonal entries are nonzero.

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Boussaïri, Abderrahim | Chergui, Brahim

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