1. The equation represents the relation w = Av in the a basis. Define a new basis by b1 = (1, -1,0)a b2= (1,1, -1)a b3 = /G (1, 1,2)a- Find the components of w, v and A in the new basis, and confirm that w = Av still holds. (The numbers do get a little messy. Feel free to check your results on a computer.) 2. If an operator is represented in the e basis by 1 M. = 0 2 find the representation Mt of the operator in the non-orthonormal basis b1 = (1, 1, 0), b2 = (0, 1, 1) b3 = (1,0, 1).. Check that det Mo = det Me