Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 1 - Vectors - 1.1 The Geometry and Algebra of Vectors - Exercises 1.1: 45

Answer

$x=2$

Work Step by Step

Note that $2+5 = 1$ in $\mathbb{Z}_6$, since $7$ divided by $6$ yields a remainder of $1$. Thus, by inspection, it is clear that there is a solution to $x+5=1$ in $\mathbb{Z}_6$.
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