changed M to F

Fibonacci.py

F = np.array([[1,1],[1,0]])
print('F^1: \n', F)
print('F^2: \n', F.dot(F))
print('F^3: \n', F.dot(F).dot(F))
print('F^4: \n', F.dot(F).dot(F).dot(F))
print('F^5: \n', F.dot(F).dot(F).dot(F).dot(F))

lambdas, eigenVectors = np.linalg.eig(F)
eigenVectors = Scaling_Eigen_Vectors(eigenVectors= eigenVectors)
print('lambdas of F^1: \n', lambdas)
print('eigenvectors of F^1: \n', eigenVectors)

lambdas, eigenVectors = np.linalg.eig(F.dot(F).dot(F).dot(F).dot(F))
eigenVectors = Scaling_Eigen_Vectors(eigenVectors= eigenVectors)
print('lambdas of F^5: \n', lambdas)
print('eigenvectors of F^5: \n', eigenVectors)

Output:
F^1: 
 [[1 1]
 [1 0]]

F^2: 
 [[2 1]
 [1 1]]

F^3: 
 [[3 2]
 [2 1]]

F^4: 
 [[5 3]
 [3 2]]

F^5: 
 [[8 5]
 [5 3]]
 
 lambdas of F^1: 
 [ 1.61803399 -0.61803399]
 
 eigenvectors of F^1: 
 [[ 1.61803399 -1.        ]
 [ 1.          1.61803399]]
 
 lambdas of F^5: 
 [11.09016994 -0.09016994]
 
 eigenvectors of F^5: 
 [[ 1.61803399 -1.        ]
 [ 1.          1.61803399]]