Es sei A ∈ Mat n ( C ) {\displaystyle {}A\in \operatorname {Mat} _{n}({\mathbb {C} })} eine Matrix. Zeige, dass exp A {\displaystyle {}\exp A} in der C {\displaystyle {}{\mathbb {C} }} -Unteralgebra C [ A ] {\displaystyle {}{\mathbb {C} }[A]} liegt.
![{\displaystyle {}{\mathbb {C} }[A]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/415c9c40b89a61a5d3668df9302c8399e7ab842a)