Consider the matrix ring M₂(Z₂).a. Find the order of the ring, that is, the number of elements in it.b. List all units in the ring.

In the given problem we have to find the elements of the given ring and the unit element s. Unit…

Answered: Consider the matrix ring M₂(Z₂). a.…

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 44E: 44. Consider the set of all matrices of the form, where and are real numbers, with the...

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Consider the matrix ring M₂(Z₂). a. Find the order of the ring, that is, the number of elements in it. b. List all units in the ring.