Finding Jordan forms over the complex numbers

[chuckles1176]

So I am trying to compute all possible Jordan forms over the complex numbers given a minimal polynomial. My question is this: If the roots of the minimal polynomial are both real, should I proceed as if all of the possible forms are over real numbers?

 

[HallsofIvy]

The Jordan forms are always matrices with the eigenvalues on the diagonal and either "0" or "1" (in some notations, below) above each eigenvalue. If all the eigenvalues are real, I can see no way to introduce complex numbers into them.

 

[Spartan Math]

chuckles, do you by any chance go to Michigan State?