An important aspect of computer graphics is the ability to transform the coordinates of points within an image For transformation purposes a point x y is represented as the column X matrix X To rotate a point multiply a point s column matrix by an appropriate rotation matrix R to form the matrix product RX For example to rotate a point by 45 in the counterclockwise direction the rotation matrix is to the right Use this information to answer parts a and b below R 2 2 2 2 2 2 2 01 MAN a Write the coordinates of the point 8 10 after it has been rotated by 45 in the counterclockwise direction Type an ordered pair Type an exact answer using radicals as needed Use integers or fractions for any numbers in the exp