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: 38

Answer

$2$.

Work Step by Step

First perform the computation in $\mathbb{Z}$: $$(3+4)(3+2+4+2)=(7)(11)=77$$ To convert this to $\mathbb{Z}_5$, we must find the remainder of $77$ divided by $5$, which is $2$.
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