1. Let D= {d1. d2. d3) and mathcal F = \{f_{1}, f_{2}, f_{3}\} be bases for a vector space V and suppose f_{1} = 2d_{1} - d_{2} + d_{3}, f_{2} = 3d_{2} + d_{3} , and f_{3} = - 3d_{1} + 2d_{3}
(a) Find the change of coordinate matrix from F to D.
(b) Find [x] D for x = f_{1} - 2f_{2} + 2f_{3}
