Problem
1. Prove that the multiplication of there dimensional transformation matrices for each of the following sequence of operations is commutative:
(a) Any two successive translations.
(b) Any two successive scaling operations.
(c) Any two successive rotations about any one of the coordinate axes.
2. Using either or, prove that any two successive rotations about a given rotation axis is commutative.
3. By evaluating the terms in derive the elements for general rotation matrix given in.