Open AccessSign patterns of rational matrices with large rank II
Author(s) -
Yaroslav Shitov
Publication year - 2022
Publication title -
electronic journal of linear algebra
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 31
eISSN - 1537-9582
pISSN - 1081-3810
DOI - 10.13001/ela.2022.6807
Subject(s) - mathematics , rank (graph theory) , sign (mathematics) , combinatorics , matrix (chemical analysis) , pure mathematics , mathematical analysis , materials science , composite material
It is known that, for any real m-by-n matrix A of rank n-2, there is a rational m-by-n matrix which has rank n-2 and sign pattern equal to that of A. We prove a more general result conjectured in the recent literature.
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