Exercise 3.6.7. Let a = e3, a2 = e, and a3 = e2 be the vectors of the ordered basis A for R. a. Find the transition matrix S for the change from the standard basis to A, b. use S to find the components of x = (3,4,5) in the basis A, and c. find the representation MA of the matrix 1 2 3 M 1 2 0 1 0 0 basis A