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V denotes a nonzero finite dimensional inner product space over F (5) Let m 2 1 be an integer and p(:t:) = (:E a1) -

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V denotes a nonzero finite dimensional inner product space over F

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(5) Let m 2 1 be an integer and p(:t:) = (:E a1) - - - (:13 am) be a polynomial where (11,. . . ,am E ]F are all distinct. Prove that if T E (V) satises p(T) = 0, then T is diagonalizable

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