Which of the following functions are homo-morphisms? (a) g: R → M₂(R) given by g(a) =(a ). (b) h: QQ given by f(0) = 0 and00h() (c) f: Z3 Z3 given by f(x) = x³.

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Answered: Which of the following functions are…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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Which of the following functions are homo- morphisms? (a) g: R→ M₂(R) given by g(a) = (a 6). (b) h: QQ given by f(0) = 0 and h(). (c) f: Z3 Z3 given by f(x) = x³.