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A Note on Counting Matrices

โœ Scribed by Duvall, Jr., P. F.; Harley, III, P. W.


Book ID
118195532
Publisher
Society for Industrial and Applied Mathematics
Year
1971
Tongue
English
Weight
284 KB
Volume
20
Category
Article
ISSN
0036-1399

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We show that the usual companion matrix of a polynomial of degree n can be factored into a product of n matrices, n -1 of them being the identity matrix in which a 2 ร— 2 identity submatrix in two consecutive rows (and columns) is replaced by an appropriate 2 ร— 2 matrix, the remaining being the ident