Question 3 10 marks The sets Bj = {1, t, #'] and By = (1 + 1, 1 - t, + ) are both bases for the vector space P of polynomials with degree at most 2. Construct the change of coordinates map P from the basis Bj to the basis Bz, and use it to write the coordinate vector [p()Je, where p(t) = 3+ + 21 - 4