๐”– Bobbio Scriptorium
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On Induced and Compound Matrices

โœ Scribed by Littlewood, D. E.

Book ID
120103350
Publisher
Oxford University Press
Year
1936
Tongue
English
Weight
250 KB
Volume
s2-40
Category
Article
ISSN
0024-6115

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๐Ÿ“œ SIMILAR VOLUMES

A note on compound matrices
A note on compound matrices
โœ K.A Lindsay; C.E Rooney ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 530 KB
Compound and unimodular matrices
Compound and unimodular matrices
โœ David P. Brown ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 560 KB

if P is any square unimodular matrax of order n. it is proven that the n .-f coqwund of ,fJ, pw U, is unimodular. If P is rectangular of order n x +I. unimodular matrices c~f t)rder k + I lln PC" are chatact&ted. A sign rule for P"', n 5 I:I, Is estabiished. fat certain pairs of rows in P"". ahe pro

Hall's theorem and compound matrices
Hall's theorem and compound matrices
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.

Compound matrices and three celebrated t
Compound matrices and three celebrated theorems
โœ K.K. Nambiar; S. Sreevalsan ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 147 KB

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.