Please solve all the subparts as soon as possible 4. Give an example of a function f: S4Z4 that is not a homomorphism. Justify youranswer.5. Give an example of a function f: A4 A3 that is a homomorphism. Justify youranswer.6. Consider the functiong: Dy x Z- Z(*, y) 3y-2Is ga homomorphism? Justify your answer.

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Answered: 4. Give an example of a function f: S4…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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4. Give an example of a function f: S4 Za that is not a homomorphism. Justify your answer. 5. Give an example of a function f: A As that is a homomorphism. Justify your answer. 6. Consider the function g: Dy x ZZ (r, y)3y-2