Question: Suppose V is a vector space over F with dim V = 3. Let T : V ?V be a linear map and I :

Suppose V is a vector space over F with dim V = 3. Let T : V ?V be a linear map and I : V ? V be the identity map. Prove that if T is diagonalizable, then T + I is also diagonalizable.

Suppose V is a vector space over F with dim V = 3. Let T: V - V be a linear map and I: V - V be the identity map. Prove that if T is diagonalizable, then T + I is also diagonalizable

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