Bourbaki

Corollary

Tag 0763, permanent. Cite it as [Bourbaki, Tag 0763].

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

— In the notation of Prop. 7, the dimension of the subspace MαM_\alpha is the multiplicity of the eigenvalue α\alpha as a root of the characteristic polynomial of uu.

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

Cited by

Nothing.

Cites

Transcribed from the printed edition, 2003, Springer. Not translated.