Companion matrix

In linear algebra, the Frobenius companion matrix of the monic polynomial

is the square matrix defined as

With this convention, and on the basis $v 1, ... , v n$ , one has

(for $i < n$ ), and $v 1$ generates $V$ as a $K [C]$ -module: $C$ cycles basis vectors.

单词	Companion matrix
释义	Companion matrix 英语百科 Companion matrix In linear algebra, the Frobenius companion matrix of the monic polynomial is the square matrix defined as With this convention, and on the basis $v 1, ... , v n$ , one has (for $i < n$ ), and $v 1$ generates $V$ as a $K [C]$ -module: $C$ cycles basis vectors.
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