I am given that dual to the basis $B=\{v_1,v_2,...,v_n\}$ of the vector space $V$ is the dual basis $\{f_1,f_2,...,f_n\}$ of $V^*$ where $V^*$ is the dual space of $V$.
How do I find the dual basis with respect to another basis, B' of $V$?
I know that any basis of $V$ are composed of vectors which are linear combinations of $\{v_1,v_2,...,v_n\}$. And then...?
Thanks.