Consider the set of matrices0S == {(a + b) : ab € R}Give an example of a ring homomorphism f: M2×2(R) → M2×2 (R) whose kernelis equal to S, or explain why such an example cannot exist.

Answered: Image /qna-images/answer/40b92c6d-cb8c-4880-a6ae-0a469409c171.jpg

Answered: Consider the set of matrices 0 S = =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the set of matrices 0 S = = {(a + b) : ab € R} Give an example of a ring homomorphism f: M2×2(R) → M2×2 (R) whose kernel is equal to S, or explain why such an example cannot exist.