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  3. let t be a linear operator on a finite-dimensional

Let T be a linear operator on a finite-dimensional complex vector space V . Prove that...

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Advance Math

Let T be a linear operator on a finite-dimensional complexvector space V . Prove that T is diagonalizable if and only if forevery ? ? C, we have N(T ? ?IV ) = N((T ? ?IV)2).

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