Change of basis

What have you done to start with? What do you know about writing linear transformations as matrices to begin with?

One of the things you will need to do is write the vectors in basis B as linear combinations of the vectors in base B'. Can you do that?

 

Then you should not be doing this problem until you have talked to your teacher or at least reviewed this in your text book.

 

Firstly do you know what does "change of basis" mean in the first place? I found something online which you may want to read through:
http://www.math.hmc.edu/calculus/tutorials/changebasis/