The eigen values for case 1 :    
 
    6.09017  
    4.       
  - 5.09017  
 
 value of P*   
 
    0.850651    0.  - 0.525731  
    0.          1.    0.        
    0.525731    0.    0.850651  
 
 Eigen values :    
 
    6.161562  
    3.928608  
  - 5.09017   
 
 Correspoding eigen vectors :    
 
    0.836942  - 0.152102  - 0.525731  
    0.178807    0.983884    0.        
    0.517259  - 0.094004    0.850651