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Note on Secchi's Companion to ∑ 2481

✍ Scribed by R. G. Aitken

Book ID
123933410
Publisher
University of Chicago Press
Year
1905
Tongue
English
Weight
166 KB
Volume
17
Category
Article
ISSN
0004-6280

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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 × 2 identity submatrix in two consecutive rows (and columns) is replaced by an appropriate 2 × 2 matrix, the remaining being the ident