i need the answer quickly Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of(M₂ (R), +,.).

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Answered: Q2) Let(M₂ (R), +..) be a ring. Prove H…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter5: Rings, Integral Domains, And Fields

Section5.1: Definition Of A Ring

Problem 17E: If R1 and R2 are subrings of the ring R, prove that R1R2 is a subring of R.

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Q2) Let(M₂ (R), +..) be a ring. Prove H = {(a) la, b, c = R}is a subring of (M₂ (R), +,.).