To find dual basis from the inner product Matrix?

[Nile@ua]

To find dual basis from the inner product Matrix!?

Homework Statement

WE know the inner product matrix (capital)Gamma and that's all. How do we "construct" a dual basis?

Homework Equations

The Attempt at a Solution

I know that the orthonormal basis is nothing but a dual basis. and we can constuct orthonormal basis using G-S method. But, I am clueless about how to construct dual basis from Gamma?

Thanks in advance.

 

[Nile@ua]

I got it, if anybody wants i can post the answer. :-)