Question: Question 6. Construct a field with 5 elements. Draw the tables of addition and multiplication. Hint 1. Let the elements of such a field be

Question 6. Construct a field with 5 elements. Draw the tables of addition and multiplication. Hint 1. Let the elements of such a field be {0, 1, a, b, c}. Hint 2. use the cancellation rules, you may use the axioms and claim/propositions about fields in the course notes. You do not need to write all the reasoning only drawing the tables for addition and multiplication is enough (but make sure to understand the reasoning)

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