A. Below is a matrix of binary operation on a finite set: A = {1, 2, 3, 4} 1 2 4 1 1 2 3 4 2 3 1 4 2 3 2 4 1 4 4 2 1 1. What is 1 * 2? 2. What is 2 * 4? 3. What is 3 * 1? 4. What is 2 * 2? 5. What is the identity element for the operation? Prove your answer.

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