import numpy
import random

V = numpy.zeros((3,3))
U = numpy.zeros(3)
T = numpy.zeros(3)
U2 = numpy.zeros((3,3))

for y in range(3):
    for x in range(3):
        V[y][x]= random.randrange(-10000,10000,10)/10

def normalize(v):
    norm=numpy.linalg.norm(v)
    if norm==0:
       return v
    return v/norm


def normal(V,i):
    for y in range(i):
        U = V[y,:]
        print(U)
        T = normalize(U)
        for j in range(i):
             U2[y][j] = T[j]
    return U2

print(V)
print("---")
print("U2 normalizado:")
U2 = normal(V,3)
print(U2)