[理工] [線代] 99台聯大應數

[cherry770519 (＊桃子＊)]

   這是昨天台聯大第6題

   Let V be a finite dimensional vector space over a field F

   and |V| >=2 Let T: V -> V  be a linear transformation .

   If there exists a vector v屬於V such that V is spanned by

  v, T(v) , T^2(v) ,...,

  prove that the characteristic polynomial of T is equal to

  the minimal polynomial of T

  希望有高手可以幫忙 謝謝

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