Computer Graphics

Calculate the product in ($*$).

Find the matrix that reflects about the line $y=2x$.

Find the matrix that reflects about the line $y=2x-4$.

Rotation and translation are rigid operations. What is the matrix for a rotation followed by a translation?

The homogeneous coordinates extend to manipulations of three dimensional space in the obvious way: every coordinate is a set of four-tall nonzero vectors that are related by being scalar multiples of each other. Give the matrix to do rotation about the $z$ axis, and the matrix for rotation about the $y$ axis.