Isomorphism
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- Definition of isomorphic/isomorphism between vector spaces
- The inverse of an isomorphism is an isomorphism.
- Vector space isomorphism is an equivalence relation.
- Isomorphic vector spaces have the same dimension.
- Vector spaces with the same dimension are isomprphic.
- Every finite dimensional vector space over R (or C) is isomorphic to R^n (or C^n) for some n.
- Definition of automorphism of a vector space