a) How can an inverse of a modulo m be used to solve the congruence ax ≡ b (mod m) when gcd(a,m) = 1? b) Solve the linear congruence 7x ≡ 13 (mod 19).
a) How can an inverse of a modulo m be used to solve the congruence ax ≡ b (mod m) when gcd(a,m) = 1? b) Solve the linear congruence 7x ≡ 13 (mod 19).
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 51E: In the congruences ax b (mod n) in Exercises 40-53, a and n may not be relatively prime. Use the...
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a) How can an inverse of a modulo m be used to solve the congruence ax ≡ b (mod m) when gcd(a,m) = 1?
b) Solve the linear congruence 7x ≡ 13 (mod 19).
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