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Matrices with elements from a division ring

โœ Scribed by K.K. Nambiar


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
166 KB
Volume
24
Category
Article
ISSN
0895-7177

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โœฆ Synopsis


of a regular matrix is defined and used to enumerate paths in a graph. It is shown that closure can be utilized to get the generator equations of a group.


๐Ÿ“œ SIMILAR VOLUMES


A factorization of totally nonsingular m
โœ Miroslav Fiedler; Thomas L. Markham ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 76 KB

We say that a rectangular matrix over a ring with identity is totally nonsingular (TNS) if for all k, all its relevant submatrices, either having k consecutive-rows and the first k columns, or k consecutive-columns and the first k rows, are invertible. We prove that a matrix is TNS if and only if it