>>> from numpy import matrix
>>> from numpy import linalg
>>> Q = matrix([[ 1.        , -0.25      ,  0.        ,  0.        ,
... 0.        , 0.        ,  0.        ,  0.        ,  0.        ,
... -0.25      ], [-0.25      ,  1.        , -0.25      ,  0.        ,
... 0.        , 0.        ,  0.        ,  0.        ,  0.        ,
... 0.        ], [ 0.        , -0.25      ,  1.        , -0.25      ,
... 0.        , 0.        ,  0.        ,  0.        ,  0.        ,
... 0.        ], [ 0.        ,  0.        , -0.36111111,  1.        ,
... -0.13888889, 0.        ,  0.        ,  0.        ,  0.        ,
... 0.        ], [ 0.        ,  0.        ,  0.        , -0.25      ,
... 1.        , -0.25      ,  0.        ,  0.        ,  0.        ,
... 0.        ], [ 0.        ,  0.        ,  0.        ,  0.        ,
... -0.13888889, 1.        , -0.36111111,  0.        ,  0.        ,
... 0.        ], [ 0.        ,  0.        ,  0.        ,  0.        ,
... 0.        , -0.25      ,  1.        , -0.25      ,  0.        ,
... 0.        ], [ 0.        ,  0.        ,  0.        ,  0.        ,
... 0.        , 0.        , -0.36111111,  1.        , -0.13888889,
... 0.        ], [ 0.        ,  0.        ,  0.        ,  0.        ,
... 0.        , 0.        ,  0.        , -0.13888889,  1.        ,
... -0.36111111], [-0.13235294,  0.        ,  0.        ,  0.        ,
... 0.        , 0.        ,  0.        ,  0.        , -0.36764706,
...           1.        ]])
>>>
>>> a = [0.5, 0.5, 0.5117647058823529, 0.6555555555555556, 0.5,
... 0.6555555555555556, 0.525, 0.6555555555555556, 0.6555555555555556,
... 0.5117647058823529]
>>> p=a*linalg.inv(Q)
>>> p*Q-a
matrix([[  2.22044605e-16,  -1.66533454e-16,   0.00000000e+00,
           0.00000000e+00,  -5.55111512e-17,   2.22044605e-16,
          -2.22044605e-16,   0.00000000e+00,   0.00000000e+00,
          -1.11022302e-16]])
>>> p=linalg.solve(Q,a)
>>> p*Q-a
matrix([[ 0.12919174,  0.        , -0.13265237, -0.00413775,  0.26823418,
          0.00397455, -0.27302125,  0.12658865, -0.00717732, -0.11324618]])
>>>