Proposition 9

Tag 0762, permanent. Cite it as [Bourbaki, Tag 0762].

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

— If the square matrix $U$ is similar to a diagonal block of Jordan matrices $(U_{m_i, \alpha_i})$ , then the minimal polynomial of $U$ is the lcm of the $(X - \alpha_i)^{m_i}$ , and the characteristic polynomial is the product of the $(X - a_i)'''$ .

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

Cited by

Proposition 12, § 5

Cites

Nothing.