Every basis is a dual basis

Описание к видео Every basis is a dual basis

In this video, I show a very neat result about dual spaces: Namely, any basis of V* is automatically a dual basis of some basis of V. Even though this result is very interesting, it's the proof that makes this very exciting, by simply using the fact that V and V** are 'very' isomorphic. Enjoy!

Example:    • Reverse Dual Basis  

V and V** are isomorphic:    • Double Dual  

Check out my dual spaces playlist:    • Reverse Dual Basis  

Subscribe to my channel:    / drpeyam  

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