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Can you provide complete proof and solution to the bonus question. This is a complete question and was given by professor as a bonus questions.

Can you provide complete proof and solution to the bonus question. This is a complete question and was given by professor as a bonus questions.

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Problem 5 (Bonus 2 points). Let V be a nite dimensional vector space. Suppose that T : V > V is a linear transformation that has the same matrix representation with respect to every basis of V. Prove that T must be a scalar multiple of the identity transformation. You can assume that the dimension of V2293

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