Bourbaki

Remark 1

Tag 0773, permanent. Cite it as [Bourbaki, Tag 0773].

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

We have det⁡(us)=det⁡(u)\det(u_s) = \det(u) and Tr⁡(us)=Tr⁡(u)\operatorname{Tr}(u_s) = \operatorname{Tr}(u).

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

Cited by

Cites

Nothing.

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