In the group Z5, the inverse of element 3 is

  • matematika

    Subject:

    Math
  • Author:

    yadiel
  • Created:

    1 year ago

Answers 2

Answer:

this is a multiplicative. so this ur answer.

Answer:

A third difference is the multiplication table for Z5, where the multiplicative inverses 3 and 2 are multiplicative inverses since 3 · 2 = 2 · 3 = 1.

Step-by-step explanation:

What is group Z5?

It's the fifth-order cyclic group. It is the field of five elements' additive group. Under vector addition modulo 5, the set Z5 is a field. We also understand that Z5 is a group that is being added. Because 5 is prime, there is a multiplicative inverse for all non-zero elements of Z5. As a result, any non-zero elements less than 5 are prime to 5.

Thus, the multiplicative inverse of any integer is a different number that produces 1 when multiplied by the original number.

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