Remark 1

Tag 08D0, permanent. Cite it as [Bourbaki, Tag 08D0].

Functions of a Real Variable, chapter IV, § 2. LINEAR DIFFERENTIAL EQUATIONS

All the above applies also to the case where E is of dimension $n$ over the field $\mathbf{R}$ and $A(t)$ is an endomorphism of E for every $t \in J$ : one has only to replace $\mathbf{C}$ by $\mathbf{R}$ throughout.

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

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