Hi all!

I got a problem, I need to make a change of basis, I have a matrix representation

in the basis

and now I have to put the matrix T in the basis

I have tried ...

The matrix change of basis from B to B' is

where

The inners products are

and so on..

therefore the matrix A is

, finally the matrix T in the basis B' is equal to

is the matrix transpose, It is correct or wrong ?

Thanks in advance!