# Problem 3: Complete the exercise using the core Python language and
# the following imported functions as needed.
#
from numpy.random import seed as seed
from numpy.random import rand as rand
from numpy.random import randn as randn
from numpy import pi as pi
from numpy import cos as cos
from numpy import sin as sin
from numpy import zeros as zeros
from numpy import ones as ones
from numpy import mean as mean
from numpy import mat as mat
from numpy import array as array
from numpy import transpose as transpose
from numpy import sqrt as sqrt
from numpy import diag as diag
from numpy import dot as dot
from numpy.linalg import inv as inv
from numpy.linalg import svd as svd
from numpy.matlib import repmat as repmat
from matplotlib.pyplot import figure as figure
from matplotlib.pyplot import title as title
from matplotlib.pyplot import plot as plot
from matplotlib.pyplot import scatter as scatter
from matplotlib.pyplot import axis as axis
from matplotlib.pyplot import quiver as quiver
from matplotlib.pyplot import savefig as savefig
from matplotlib.pyplot import show as show
# Seed random number generator with you favorite number e.g. seed(2234)