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Let T be an operator on a finite dimensional complex vector space V. Which of the following is NOT always true? Select one: O

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Let T be an operator on a finite dimensional complex vector space V. Which of the following is NOT always true? Select one: O a. V has a basis consisting of eigenvectors of T O b. V is the direct sum of the generalised eigenspaces of T Oc If A is an eigenvalue of T then (T-AI) car is nilpoent. Od. If u are generalised eigenvectors of T corresponding to distinct eigenvalues then U1, Um are linearly independent.

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