Let J ={[a b] a,b, c, d are even integers} C M₂(Z).C(a) Verify that J is an ideal.-3-(b) Verify that2³] = [7²5] (mod J).4(c) Describe all cosets of J. There should be 16 total.1

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Answered: Let J = {[a b] a,b, c, d are even…

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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Let J = {[a b] a,b, c, d are even integers} C M₂(Z). C (a) Verify that J is an ideal. -3 (b) Verify that 2³] = [7²5] (mod J). 4 - 1 (c) Describe all cosets of J. There should be 16 total.