All Calculations must be shown to earn full marks! Methods must be used when solving problems (specifically using matrices) Ann angles must be expressed in radian measure. Radical in the final answers must be reduced. Marks will be deducted. Marks will be deducted for not following these instructions.

8. Find the transition matrix representing the change in coordinates on P3 from the ordered basis [1, x, x2 ] to the ordered basis [1, 1 + x, 1 + x + x?]. Find the coordinate vector with respect to the second basis and use it to express the polynomial 3 -x + 2x using the second ordered basis. [5 marks]