Corollary 1

Tag 075S, permanent. Cite it as [Bourbaki, Tag 075S].

Algebra, chapter VII, § 5. Endomorphisms of vector spaces

— Let $u$ be an endomorphism of a vector space of finite dimension $n$ over a commutative field $K$ , with characteristic polynomial $\chi_u(X)$ and similarity invariants $q_i(X)$ ( $1 \leq i \leq n$ ). Then

\chi_u(X) = q_1(X) q_2(X) \ldots q_n(X)

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Corollary 2, § 5

Cites

Nothing.