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Isomorphic Vector Spaces and Isomorphisms - Linear Algebra
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- 1 Intro
- 2 Definition of Isomorphic Vector Spaces
- 3 Etymology of Isomorphism
- 4 Example of Isomorphic Vector Spaces
- 5 R^n is the Ultimate Lifeform
- 6 Every n-Dimensional Space is Isomorphic
- 7 Assuming Isomorphic
- 8 Assuming Equal Dimensions
- 9 Additivity
- 10 Homogeneity
- 11 One to One
- 12 Onto
- 13 Finishing the Proof
- 14 Isomorphism to R^n
- 15 Some Examples of Isomorphisms
- 16 Recap
- 17 Conclusion