CPI 200 
HW 2 
due 3-5 midnight (or 3-12, after Spring Break)

Turn in via Blackboard
Name your file lastname_firstname_HW1.nb

Create 50 points on a circle. Then, find their images under the  linear map with matrix

	(({{2, 1}, {1, 2}})).
	
Then apply the same map to those images and repeat three times. Illustrate your results.

mat={{1,0.5},{0.5,1}};
circpoints=  Table[{Cos[t],Sin[t]},{t,0,2 Pi,0.1}];
matiter=mat.mat.mat;
ellpoints= Table[matiter.{Cos[t],Sin[t]},{t,0,2Pi,0.1}];
pplot=Graphics[{PointSize[Large],Green,Point[circpoints],Red, Point[ellpoints]}]