Matrices with all minors of some fixed order being equal: the rank, dimension and characteristic property

Investigated in this paper is aclass $\mathfrak{M}$ of matrices (over an arbitrary field) in whichall minors of some fixed order $k$ are equal and nonzero. It isestablished that the rank of such matrices equals to $k$. Thepossible values for the dimension of a matrix in $\mathfrak{M}$ arefound. A ne...

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Bibliographic Details
Date:2019
Main Authors: Trebenko, D. Ya., Trebenko, O. O.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2019
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/519
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine