Video06-TA05: Finding components/Dual Basis vectors/Covariant components & coord. transformations

Finding components, dual basis vectors and covariant components and their transformation properties
--Contents of this video--
00:00 - How to find the components of a vector in a chosen coordinate system
05:10 - Dual basis vectors (see notes for example)
13:54 - How do we relate covariant and contravariant components?
16:40 - How do the dual basis vectors and covariant components transform under coordinate transformations?

[@worldpeace2642]

Great explanation! The best I've found on the internet. You're doing fine!

[@trigocuantico]

This is the best explanation about this topic. I have always searched this but never have shown the equations and the path to them in this way
you even explained the general case
thanks

[@michaelmelling4277]

Thank you for clear explanation of confusing subject !!

[@earthperson79153]

Great!Thanks and happy holidays.

[@GiovaniCrepaldi]

I can't see how do you make the relationship between the covariant component and the dual basis. It wasn't clear for me that the combination of this two generates the vector.