Question: Consider M C n n . If the minimal polynomial of M is of the form ( x 1 ) ( x 2 ) ...

Consider MCnn. If the minimal polynomial ofM is of the form(x1)(x2)...(xk) where 1,...,kC, show thatM is diagonalizable.

(this is supposed to be an exercise for students who only have backgrounds in undergraduate linear algebra)

(really appreciate if you could help!)

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