(a)   The point P (3 -5) is rotated through an angle 60 degrees anticlockwise about the orign.

(i)   Obtain the matrix for the rotation.
(ii) Find the image pl of the point P under the rotation.
(b) A linear transformation is given by N: (x/y) ~(2x + 3y, 3x - y).
              (i)             Write down the matrix N of the transformation.
             (ii)         If N2 + aN + bI = 0, where a, b E R, I is the 2 x 2 unit matrix and 0 is the 2 x 2 null matrix, find the values of a and b.