import numpy as np
import math

tri = np.matrix('2,2,1; 6,2,1; 6,4,1')
print(tri)

def translate(obj, nx, ny):
	trans = [[1, 0, 0], [0,1,0], [nx, ny,1]]
	return obj*trans

def scale(obj, sx, sy):
        scale = [[sx, 0, 0], [0, sy, 0], [0,0,1]]
        return obj*scale

def rotate(obj, angle):
        rotate = [[math.cos(angle), math.sin(angle), 0],[-math.sin(angle), math.cos(angle), 0],[0,0,1]]
        return obj*rotate

print(translate(tri, 2,2))
print(scale(tri, 2,1/2))
print(rotate(tri, math.pi/2))