sorry I should have made this a bit more clear in the question, but can there exist a Jordan block (given the minimal polynomial above) with 1's on the main diagonal of dimension 2 such that it satisfies the 8x8 dimension req? i.e. assuming we have the dim=3 blocks obtained from 1 and the dim=2...
Homework Statement
find all Jordan forms of 8x8 matrices given the minimal polynomial x^2*(x-1)^3
Homework Equations
The Attempt at a Solution
The roots are clearly 0,1 and 0 has degree 2 while 1 has degree 3. The forms would be made up of the blocks [0,0;1,0] corresponding to 0...
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?