Answer Happy

Here is a matrix that represents a similarity transformation: M: = 3 4 2 -4 3 -2 0 0 1

= Two points have Cartesian coordinates 71 = (1).)2 = () = 3 They are rigidly transformed to the corresponding points: õi ỹ = (4). = (3) õź = 1.3 Determine the transformation matrix T of the rigid transformation. Hint 1: The mean of the two points, and their difference, must be transformed in the same way, by T. Hint 2: Verify that the resulting transformation really is a rigid transformation (R E SO(2)), and that it transforms Īk to 7k (14) 1.4 Can we choose the four points 71,72,71,7ź in an arbitrary way in exercise 1.3? (4')