Having trouble with finding standard distribution of this matrix. Trying to make sense of my egienvectors and...












0














so I have this matrix



I wanted to normalize my eigenvector, using np.linalg.norm() and I got a value say xxx. However, when I divided each index of my eigenvector by xxx and I took the sum, I got a value greater than 1??? Here's what happened



here's my array P



array([[0.756, 0.113, 0.129, 0.002, 0.   , 0.   , 0.   ],
[0.174, 0.821, 0.004, 0.001, 0. , 0. , 0. ],
[0.141, 0.001, 0.776, 0.082, 0. , 0. , 0. ],
[0.003, 0. , 0.192, 0.753, 0.052, 0. , 0. ],
[0. , 0. , 0.002, 0.227, 0.735, 0.036, 0. ],
[0. , 0. , 0. , 0.007, 0.367, 0.604, 0.022],
[0. , 0. , 0. , 0. , 0.053, 0.158, 0.789]])

PT =P.T #To transpose the matrix into column vectors

a=np.linalg.eig(PT)
c=np.linalg.norm(a[1][0])

for i in range(len(a[1][0])):
b[i]=a[1][0][i]/c

print(b)
print(sum(b))

[ 0.48084502 0.32410593 0.53032645 -0.4925481 0.33841701 -0.15920675
0.00455786]
1.026497437739756









share|improve this question



























    0














    so I have this matrix



    I wanted to normalize my eigenvector, using np.linalg.norm() and I got a value say xxx. However, when I divided each index of my eigenvector by xxx and I took the sum, I got a value greater than 1??? Here's what happened



    here's my array P



    array([[0.756, 0.113, 0.129, 0.002, 0.   , 0.   , 0.   ],
    [0.174, 0.821, 0.004, 0.001, 0. , 0. , 0. ],
    [0.141, 0.001, 0.776, 0.082, 0. , 0. , 0. ],
    [0.003, 0. , 0.192, 0.753, 0.052, 0. , 0. ],
    [0. , 0. , 0.002, 0.227, 0.735, 0.036, 0. ],
    [0. , 0. , 0. , 0.007, 0.367, 0.604, 0.022],
    [0. , 0. , 0. , 0. , 0.053, 0.158, 0.789]])

    PT =P.T #To transpose the matrix into column vectors

    a=np.linalg.eig(PT)
    c=np.linalg.norm(a[1][0])

    for i in range(len(a[1][0])):
    b[i]=a[1][0][i]/c

    print(b)
    print(sum(b))

    [ 0.48084502 0.32410593 0.53032645 -0.4925481 0.33841701 -0.15920675
    0.00455786]
    1.026497437739756









    share|improve this question

























      0












      0








      0







      so I have this matrix



      I wanted to normalize my eigenvector, using np.linalg.norm() and I got a value say xxx. However, when I divided each index of my eigenvector by xxx and I took the sum, I got a value greater than 1??? Here's what happened



      here's my array P



      array([[0.756, 0.113, 0.129, 0.002, 0.   , 0.   , 0.   ],
      [0.174, 0.821, 0.004, 0.001, 0. , 0. , 0. ],
      [0.141, 0.001, 0.776, 0.082, 0. , 0. , 0. ],
      [0.003, 0. , 0.192, 0.753, 0.052, 0. , 0. ],
      [0. , 0. , 0.002, 0.227, 0.735, 0.036, 0. ],
      [0. , 0. , 0. , 0.007, 0.367, 0.604, 0.022],
      [0. , 0. , 0. , 0. , 0.053, 0.158, 0.789]])

      PT =P.T #To transpose the matrix into column vectors

      a=np.linalg.eig(PT)
      c=np.linalg.norm(a[1][0])

      for i in range(len(a[1][0])):
      b[i]=a[1][0][i]/c

      print(b)
      print(sum(b))

      [ 0.48084502 0.32410593 0.53032645 -0.4925481 0.33841701 -0.15920675
      0.00455786]
      1.026497437739756









      share|improve this question













      so I have this matrix



      I wanted to normalize my eigenvector, using np.linalg.norm() and I got a value say xxx. However, when I divided each index of my eigenvector by xxx and I took the sum, I got a value greater than 1??? Here's what happened



      here's my array P



      array([[0.756, 0.113, 0.129, 0.002, 0.   , 0.   , 0.   ],
      [0.174, 0.821, 0.004, 0.001, 0. , 0. , 0. ],
      [0.141, 0.001, 0.776, 0.082, 0. , 0. , 0. ],
      [0.003, 0. , 0.192, 0.753, 0.052, 0. , 0. ],
      [0. , 0. , 0.002, 0.227, 0.735, 0.036, 0. ],
      [0. , 0. , 0. , 0.007, 0.367, 0.604, 0.022],
      [0. , 0. , 0. , 0. , 0.053, 0.158, 0.789]])

      PT =P.T #To transpose the matrix into column vectors

      a=np.linalg.eig(PT)
      c=np.linalg.norm(a[1][0])

      for i in range(len(a[1][0])):
      b[i]=a[1][0][i]/c

      print(b)
      print(sum(b))

      [ 0.48084502 0.32410593 0.53032645 -0.4925481 0.33841701 -0.15920675
      0.00455786]
      1.026497437739756






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      asked Nov 20 at 11:04









      Kevin Vo

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