Question: Let V be a finite dimensional vector space over K, and let T : V - V be a linear map. Assume that T has

Let V be a finite dimensional vector space over K, and let T : V - V be a linear map. Assume that T has a nonzero eigenvalue A E K whose eigenspace To agrees with range(T). Find all the eigenvalues of T () will be one of them) and show that T is diagonalizable

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