let S =(v1,...,vn), S' =(v1',...,vn'), S'' =(v1'',...,vn'') be bases for a vector space V. Let T be the transition matrix from S to S' and T' be the transition matrix form S' to S''. how do you prove that the transition matrix form S to S'' is T'T?
im not very sure how to denote T apart from taht T is the column vectors of S? and then how do i go about solving this?
Thanks!