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: 34

Answer

$$1$$

Work Step by Step

We're asked to simplify $3+1+2+3$ in $\mathbb{Z}_4$. Using the associative property repeatedly, we can group this into the following form: $$(((3+1)+2)+3)$$ Now, knowing the addition table for $\mathbb{Z}_4$, we simplify: $$((0+2)+3)=((2)+3)=1$$
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