Bourbaki

Corollary

Tag 0760, permanent. Cite it as [Bourbaki, Tag 0760].

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

Let UU be a square matrix over a commutative field KK such that all the eigenvalues of UU are in KK; then there exists a matrix similar to UU which is a diagonal block of Jordan matrices.

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

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Cites

Nothing.

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