Question: Q18 pls (c ) Prove that / is diagonalizable iff 1' is diagonalizable. (18) Let V have a basis {v1, ..., Un}. Let V* :=

Q18 pls

(c ) Prove that / is diagonalizable iff 1' is diagonalizable. (18) Let V have a basis {v1, ..., Un}. Let V* := [(V, F). Prove that the map d : V - V* defined by $(v;) (vi): Jo ifj 1 i =j and extending linearly is an isomorphism, thus V ~ V *. (19) Let T be a linear operator on finite

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