Question: What are the possible minimal polynomials if a matrix has the given characteristic polynomial? (a) (x - 3)4 (b) (x + 1)3(x - 4) (c)

What are the possible minimal polynomials if a matrix has the given characteristic polynomial?
(a) (x - 3)4
(b) (x + 1)3(x - 4)
(c) (x - 2)2(x - 5)2
(d) (x + 3)2(x - 1)(x - 2)2
What is the degree of each possibility?

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