Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

Wrath of Math via YouTube Direct link

Intro

1 of 17

1 of 17

Intro

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Isomorphic Vector Spaces and Isomorphisms - Linear Algebra

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

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