new function Plot_All

Plot and Scale eigenvectors.py

def Plot_All(A, eigenvectors):
    plt.figure(figsize=(12,3))
    plt.subplot(1,3,1)
    V = [np.array([[0, 0]]), [eigenVectors]] # padded [0,0] just to get the pink colour
    for i in range(len(V)):
        for j in range(len(V[i])):
            plt.quiver(*([0],[0]), V[i][j][0], V[i][j][1], angles='xy', scale_units='xy', scale=1, color=plt.cm.Paired((i+3)/10.))
    plt.grid(b=True, which='major', linestyle= ':')
    plt.xticks(np.arange(-5, 5 + 1, 1))
    plt.yticks(np.arange(-5, 5 + 1, 1))
    plt.title('Eigenvectors')
    plt.subplot(1,3,2)
    outVector = A.dot(eigenVectors[:,0])
    V = [[outVector], [eigenVectors[:,0]]]
    for i in range(len(V)):
        for j in range(len(V[i])):
            plt.quiver(*([0],[0]), V[i][j][0], V[i][j][1], angles='xy', scale_units='xy', scale=1, color=plt.cm.Paired((i+3)/10.))
    plt.grid(b=True, which='major', linestyle= ':')
    plt.xticks(np.arange(-5, 5 + 1, 1))
    plt.yticks(np.arange(-5, 5 + 1, 1))
    plt.title('A applied on e0')
    plt.subplot(1,3,3)
    outVector = A.dot(eigenVectors[:,1])
    V = [[outVector], [eigenVectors[:,1]]]
    for i in range(len(V)):
        for j in range(len(V[i])):
            plt.quiver(*([0],[0]), V[i][j][0], V[i][j][1], angles='xy', scale_units='xy', scale=1, color=plt.cm.Paired((i+3)/10.))
    plt.grid(b=True, which='major', linestyle= ':')
    plt.xticks(np.arange(-5, 5 + 1, 1))
    plt.yticks(np.arange(-5, 5 + 1, 1))
    plt.title('A applied on e1')


# because eigenvector is a vector on a line we can choose 
# any suitable point "we want" on that line!
def Scaling_Eigen_Vectors(eigenVectors):
    for i in range(len(eigenVectors)):
        eigenVectors[:,i] = eigenVectors[:,i] / np.absolute(min(eigenVectors[:,i]))
    return eigenVectors