1 2-2 2. Let Q -2 2 1 be a change of basis matrix. It corresponds to a 2 1 2 rotation of coordinate axes. Let v = [x, y, z) and v' = [',y', ] be the coordinate columns of a point with respect to old standard basis and the new rotated basis respectively. a) Find the old (standard) coordinates of following points with new primed co- ordinates given by (1,0,0), (0, 1, 0), and (0,0,1). b) Find the new primed coordinates of the point with old unprimed coordinates (6,0,3). c) Find the old unprimed coordinates of the point with new primed coordinates (6,0,3).