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 - Page 17: 33



Work Step by Step

We're given the following, in $\mathbb{Z}_3$: $$2(2+1+2)$$ First, using the associativity of addition, group the terms: $$2((2+1)+2)$$ Given that $2+1=0$ in $\mathbb{Z}_3$, we can simplify it to: $$2(0+2)$$ Using the identity property of addition, this simplifies to: $$2(2)$$ And computing the product, we get: $$1$$
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