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Describe the elements of M2(Z) (see Example 4) that have

Chapter 12, Problem 20E

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QUESTION:

Describe the elements of M2(Z) (see Example 4) that have multiplicative inverses.Reference:

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QUESTION:

Describe the elements of M2(Z) (see Example 4) that have multiplicative inverses.Reference:

ANSWER:

         

Step 1 of 4

A ring R is a set with two binary operations, addition and multiplication, satisfying several properties: R is an Abelian group under addition, and the multiplication operation satisfies the associative law.

According to the distributive law,

Also,

For every

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