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On Rank Equalities of Partitioned Matrices over a Division Ring
Received:September 24, 2002
Key Words
:
Division ring
partitioned matrix
rank equalities
decomposition of pairwise matrices.
Fund Project
:
Author Name
Affiliation
LIU Yong-hui
Dept. Math.
Zaozhuang University
Shandong
China
Academy of Mathematics and System Sciences
Chinese Academy of Science
Beijing
China
GUO Wen-bin
Dept. of Math.
Liaocheng University
Shandong
China
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Abstract
:
By applying the decomposition of the pairwise matrices over a division ring, we give a new proof of Marsaglia-Styan rank formula. We also obtain some equivalent characterizations of some new rank equalities of the partitioned matrices.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2005.02.025
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