title: problem in finding eigenvectors of a matrix in MATLAB
body: <p>I have a symmetric matrix with the elements <code>A=[8.8191,0,1.0261; 0,3,0; 1.0261,0,3.1809];</code>
  I used the <code>eig(A)</code> function in MATLAB , the eigenvalues and eigenvectors are given :</p>
  
  <pre><code>eigvect =
  
  0.1736         0    0.9848
       0   -1.0000         0
  -0.9848         0    0.1736
  
  
  eigval =
  
  3.0000         0         0
       0    3.0000         0
       0         0   9.0000    
  </code></pre>
  
  <p>Eigenvalues are correct but the eigenvectors are not which I expect, because I think 2 of them should be equal.  Does MATLAB calculate correctly the eigenvectors?</p>