Prove that function f: Z x Z -> Z x Z defined by formula: f(m, n) = (4m + 3n, 3m +2n) is bijective. Find the inverse f -1 .
Prove that function f: Z x Z -> Z x Z defined by formula: f(m, n) = (4m + 3n, 3m +2n) is bijective. Find the inverse f -1 .
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 23E: Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove...
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Prove that function f: Z x Z -> Z x Z defined by formula:
f(m, n) = (4m + 3n, 3m +2n) is bijective.
Find the inverse f -1 .
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