Determine the inverse of each element of U(15). For the entry a (mod 15) in the table below, if a (mod 15) belongs to U(15) then enter an integer 1 < b < 15 so that b (mod 15) is an inverse of a (mod 15); if a (mod 15) does not belong to U(15) then enter 0. a 1/a (mod 15) 1 2 4 7 8 11 13 14

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.5: Congruence Of Integers
Problem 4TFE: Label each of the following statements as either true or false. a is congruent to b modulo n if and...
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Determine the inverse of each element of U(15). For the entry a (mod 15) in the table below, if a (mod 15) belongs to U(15) then enter an
integer 1 ≤ b < 15 so that b (mod 15) is an inverse of a (mod 15); if a (mod 15) does not belong to U(15) then enter 0.
a 1/a (mod 15)
2
A
7
8
11
13
14
Transcribed Image Text:Determine the inverse of each element of U(15). For the entry a (mod 15) in the table below, if a (mod 15) belongs to U(15) then enter an integer 1 ≤ b < 15 so that b (mod 15) is an inverse of a (mod 15); if a (mod 15) does not belong to U(15) then enter 0. a 1/a (mod 15) 2 A 7 8 11 13 14
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