Matrices with all minors of some fixed order being equal: the rank, dimension and characteristic property
Abstract
Investigated in this paper is a
class M of matrices (over an arbitrary field) in which
all minors of some fixed order k are equal and nonzero. It is
established that the rank of such matrices equals to k. The
possible values for the dimension of a matrix in M are
found. A necessary and sufficient condition for a matrix to belong
to the class M is also given.
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Published
2019-12-30
How to Cite
Trebenko, D. Y., & Trebenko, O. O. (2019). Matrices with all minors of some fixed order being equal: the rank, dimension and characteristic property. Transactions of Institute of Mathematics, the NAS of Ukraine, 16(3), 219–229. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/519
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Section
Research papers
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Copyright (c) 2019 D. Ya. Trebenko, O. O. Trebenko
This work is licensed under a Creative Commons Attribution 4.0 International License.