Simple Markov Matrix

Simple_Markov_Matrix.txt

$ python
>>> import numpy
>>> P = array([[1.0/3, 2.0/3], [1.0/4, 3.0/4]])
>>> P
array([[ 0.33333333,  0.66666667],
       [ 0.25      ,  0.75      ]])
>>> numpy.linalg.matrix_power(P, 2)
array([[ 0.27777778,  0.72222222],
       [ 0.27083333,  0.72916667]])
>>> numpy.linalg.matrix_power(P, 3)
array([[ 0.27314815,  0.72685185],
       [ 0.27256944,  0.72743056]])
>>> numpy.linalg.matrix_power(P, 4)
array([[ 0.27276235,  0.72723765],
       [ 0.27271412,  0.72728588]])
>>> numpy.linalg.matrix_power(P, 5)
array([[ 0.2727302 ,  0.7272698 ],
       [ 0.27272618,  0.72727382]])
>>> numpy.linalg.matrix_power(P, 10)
array([[ 0.27272727,  0.72727273],
       [ 0.27272727,  0.72727273]])
>>> numpy.linalg.matrix_power(P, 100)
array([[ 0.27272727,  0.72727273],
       [ 0.27272727,  0.72727273]])