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
$$[1,1,0]$$
Linear Algebra: A Modern Introduction
by Poole, David
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: 41
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