Definition 3

Tag 075X, permanent. Cite it as [Bourbaki, Tag 075X].

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

For every field $K$ , every integer $m \geq 1$ , and every $a \in K$ , the matrix $U_{m,\alpha}$ is called the Jordan matrix of order $m$ and eigenvalue $a$ .

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

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