up:: Affine Map
Transclude of Affine-Map.excalidraw
An affine isomorphism is an affine map which is also a Bijection.
Properties
- An affine map is an affine isomorphism iff its underlying linear map is an isomorphism
- The inverse of an affine isomorphism is an affine map
- Translations in affine spaces are affine automorphisms
References
- ARNOL’D, Vladimir Igorevich. Mathematical methods of classical mechanics. Springer Science & Business Media, 2013.
- Notes on Mathematical Physics for Mathematicians - Daniel Tausk