A note on companion matrices
โ
Miroslav Fiedler
๐
Article
๐
2003
๐
Elsevier Science
๐
English
โ 82 KB
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