Set of residue classes Z6 is equipped with the usual operations of multiplication and addition of residue classes. Which of the following statements about the elements of the set Z6 is not correct? (a) Element 0 is the identity for addition. (b) The additive inverse of element 1 is 5

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.1: The Geometry And Algebra Of Vectors

Problem 30EQ: Write out the addition and multiplication tables for 5.

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Question

Set of residue classes Z6 is equipped with the usual operations of multiplication and addition of residue classes. Which of the following statements about the elements of the set Z6 is not correct? (a) Element 0 is the identity for addition. (b) The additive inverse of element 1 is 5. (c) The multiplicative inverse of element 2 is 3. (d) Element 3 is invertible under addition. (e) Element 4 does not have a multiplicative inverse.

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