Bourbaki

Corollary 1

Tag 05WW, permanent. Cite it as [Bourbaki, Tag 05WW].

Algebra, chapter II, § 10. Matrices

If uu is an endomorphism of EE and M(u)M(u) and M′(u)M'(u) its matrices with respect to the bases (ei)(e_i) and (ei′)(e'_i) respectively, then

M′(u)=P−1M(u)P. M'(u) = P^{-1} M(u) P.

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, 1998, Springer. Not translated.