Question

E=[v1,v2,v3]=(1,1,1)^t, (2,3,2)^t, (1,5,4)^t] and F=[u1,u2,u3]= [(1,1,0)^t,(1,2,0)^T, (1,2,1)^t]. Find the transition matrix from E to F. If x=3v1+2v2-v3 and v1-3v2 + 2v3, find the coordinates of x and y wrt the ordered basis F.