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Generalized inverses of matrices over a finite field

โœ Scribed by John D. Fulton


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
657 KB
Volume
21
Category
Article
ISSN
0012-365X

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โœฆ Synopsis


For a given m X n matrix A of rank I ov+r a finite field F, the number of generalized invers:s, of reflexive generalized inverses, of normalized generalized inverses, and of pseudoinverses of A are derermined by elementary methods. The more dticult problem of determining which m X n matrices A of rank I over F have normalized genevbed inverses and which hatye pseudoinverses is soived. Moreover, the number of such matrices v*hich possess normelkd generalized inverses and the number which possess pseudoinverses are fotind.


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