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: 41

Answer

$$[1,1,0]$$

Work Step by Step

First, compute the sum in $\mathbb{Z^3}$: $$[2,1,2]+[2,0,1]=[4,1,3]$$ To convert this to $\mathbb{Z^3_3}$, find the remainder of each component when divided by $3$, yielding the solution of $$[1,1,0]$$
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