e =    
 
    1.  
    0.  
    0.  
 
 x =    
 
  - 1.  
    1.  
    4.  
 
 k =    
 
    4.2426  
 
 u =    
 
  - 5.2426  
    1.      
    4.      
 
 Householder Matrix :    
 
  - 0.2357    0.2357    0.9428  
    0.2357    0.9550  - 0.1798  
    0.9428  - 0.1798    0.2807