   Chapter 2.6, Problem 4TFE

Chapter
Section
Textbook Problem

Label each of the following statements as either true or false.Every element [ a ]     ≠   [ 0 ] in ℤ n has a multiplicative inverse.

To determine

Whether the statement, “Multiplicative inverse exist for every element [a] in n” is true or false.

Explanation

Consider the statement, “Every element [a] in n has a multiplicative inverse.”

Let, 4 denote the set of congruence classes.

4={,,,}.

Consider a multiplication table for 4,

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