Dual basis

Dual basis definition and proof that it's a basis

In this video, given a basis beta of a vector space V, I define the dual basis beta* of V*, and show that it's indeed a basis. We'll see many more applications of this concept later on, but this video already shows that it's straightforward to construct one. Moreover, we get a very elegant representation formula of a functional in terms of the dual basis. Enjoy!

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Dual Space video:    • Dual Space  

Example of dual basis:    • Dual Basis Example  

Check out my Dual Space playlist:    • Dual Spaces