If p≥2 is a prime and a,b ∈Z(p) with a̸ = 0 ,we say that b/p a is the solution x∈Z(p) of the equation a ∗p x = b. For p = 2, 3, 5, work out a ‘division table,’ resembling the addition and multiplication tables of §3.5, showing what b /p a equals, for all possible a, b ∈ Z(p) (with a ̸= 0)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 56EQ
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If p≥2 is a prime and a,b ∈Z(p) with a̸ = 0 ,we say that b/p a is the solution x∈Z(p) of the equation a ∗p x = b. For p = 2, 3, 5, work out a ‘division table,’ resembling the addition and multiplication tables of §3.5, showing what b /p a equals, for all possible a, b ∈ Z(p) (with a ̸= 0)

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