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

• Дата: 2019
• Автори: Trebenko, D. Ya., Trebenko, O. O.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2019
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/519
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

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...