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# Jordan canonical form is given by  J = T^{-1} A T
A = matrix([[4,-1,6],[2,1,6],[2,-1,8]])
J, T = A.jordan_form(transformation=True)
T^(-1)*(A * T) ==  J

~~# Jordan canonical form is given by J = T^{-1} A T T A = matrix([[4,-1,6],[2,1,6],[2,-1,8]]) J, T = A.jordan_form(transformation=True) T^(-1)*(A * T) == J True~~

          3    No.3 Revision 
      
    
        
        updated 2023-01-28 03:48:57 +0100  
 
 
  
 
 
 
  Jordan canonical form is given by  J = T^{-1} A T A = matrix([[4,-1,6],[2,1,6],[2,-1,8]])
J, T = A.jordan_form(transformation=True)
T^(-1)*(A * T) ==  J

True
  You checked:
 T^(-1)*J*T == A
 which is not the same