Spaces of rank-2 matrices over GF(2).
Beasley, LeRoy B. (1999)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Displaying similar documents to “Zero-term rank preservers of integer matrices”
Spaces of rank-2 matrices over GF(2).
Linear maps preserving rank 2 on the space of alternate matrices and their applications.
Cao, Chongguang, Tang, Xiaomin (2004)
International Journal of Mathematics and Mathematical Sciences
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Fermat's theorem for matrices revisited
Štefan Schwarz (1985)
Mathematica Slovaca
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A new rank formula for idempotent matrices with applications
Yong Ge Tian, George P. H. Styan (2002)
Commentationes Mathematicae Universitatis Carolinae
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It is shown that where is idempotent, has full row rank and . Some applications of the rank formula to generalized inverses of matrices are also presented.
Preservers of the rank of matrices over a field.
Kalinowski, Józef (2009)
Beiträge zur Algebra und Geometrie
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A note on quasiconvexity and rank-one convexity for matrices.
Pedregal, Pablo, Šverák, Vladimír (1998)
Journal of Convex Analysis
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Perimeter preserver of matrices over semifields
Seok-Zun Song, Kyung-Tae Kang, Young Bae Jun (2006)
Czechoslovak Mathematical Journal
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For a rank- matrix , we define the perimeter of as the number of nonzero entries in both and . We characterize the linear operators which preserve the rank and perimeter of rank- matrices over semifields. That is, a linear operator preserves the rank and perimeter of rank- matrices over semifields if and only if it has the form , or with some invertible matrices U and V.