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answered 2 years ago

achrzesz gravatar image
# 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
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# 

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
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No.3 Revision

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