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Homework Statement
Given the matrix
2 0 0 0 0 0 0
1 2 0 0 0 0 0
0 1 2 0 0 0 0
0 0 1 2 0 0 0
0 0 0 0 2 0 0
0 0 0 0 1 2 0
0 0 0 0 0 0 2
What is the minimal polynomial?
Homework Equations

The Attempt at a Solution
This is the Jordan form, so I guess the solution is just m(t) = (t2)^{7} but I don't know if it's right. Can anyone help me?