An object should be moved as follows: a) First, translate by 3 in X. b) Then rotate by 45 degrees clockwise about the origin. c) Then translate by 2 in Y. d) Finally rotate by another 45 degrees clockwise about the origin.

Show that these operations could be simplified into one translation followed by one rotation about the origin.

Alternatively, show that the operations could be simplified into one rotation about the origin followed by one translation.