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).
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).
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.2: Order Of Operations
Problem 38PPS
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