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Compound matrices and three celebrated theorems

โœ Scribed by K.K. Nambiar; S. Sreevalsan

Book ID
104350939
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
147 KB
Volume
34
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

Apart from the regular and adjugate compounds of a matrix, an inverse compound of a matrix is defined. Theorems of Laplace, Binet-Cauchy, and Jacobi are given in terms of these compounds. Compound matrices allow the statements of the theorems to be terse and precise.

๐Ÿ“œ SIMILAR VOLUMES

Hall's theorem and compound matrices
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โœ K.K. Nambiar ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

## Compound matrices which list the entire set of matchings in a bigraph are used to prove the theorem of Hall.

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