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

Question

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 Oc V is the direct sum of the generalised eigenspaces of T If A is an eigenvalue of T then T AI G is nilpoent O d If U Um are generalised eigenvectors of T corresponding to distinct eigenvalues then V Um are linearly independent

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