1. Show  the composition of two rotations is additive by  the matrix representations for R(0,) and R(Oz) to obtain

2. Write a set of procedures to implement the build  Matrix and the compose  Matrix functions to produce a composite transformation matrix for any set of input transformation parameters.

3. Write a program that applies any specified sequence of transformations to a displayed object. The program is to be designed so that a user selects the transformation sequence and associated parameters from displayed menus, and the composite transformation  is then calculated and used to transform the object. Display the original object and the transformed object in different colors or different fill patterns.