In [2]:

    

%matplotlib inline
import matplotlib.pyplot as plt
import numpy as np
import pandas as pd
plt.style.use('ggplot')


    

In [8]:

    

# handle bottom-up data
a = np.array([
        [0, 1],
        [1, 1]
    ])
eigval, eigvecs = np.linalg.eig(a)


    

In [9]:

    

eigval


    

    
Out[9]:





array([-0.61803399,  1.61803399])

In [10]:

    

eigvecs


    

    
Out[10]:





array([[-0.85065081, -0.52573111],
       [ 0.52573111, -0.85065081]])

In [11]:

    

2/-0.85065081


    

    
Out[11]:





-2.351141004615043

In [12]:

    

-2.351141004615043*0.52573111


    

    
Out[12]:





-1.2360679701227817

In [14]:

    

1+(5**0.5)


    

    
Out[14]:





3.23606797749979

In [15]:

    

1-(5**0.5)


    

    
Out[15]:





-1.2360679774997898

In [17]:

    

np.allclose(np.dot(a, eigvecs[:, 0]), eigval[0]*eigvecs[:, 0])


    

    
Out[17]:





True

In [19]:

    

np.linalg.inv(eigvecs)


    

    
Out[19]:





array([[-0.85065081,  0.52573111],
       [-0.52573111, -0.85065081]])

In [ ]: