For each of the following pairs of ordered bases β and β' for P₂(r), find the change of coordinate matrix that changes β'-coordinates into β-coordinates.
β = {2x² - x + 1, x² + 3x - 2, x² + 2x + 1} and β' = {9x - 9, x² + 21x - 2, 3x² + 5x + 2}