Linear Algebra: A Modern Introduction

Published by Cengage Learning

Chapter 1 - Vectors - 1.1 The Geometry and Algebra of Vectors - Exercises 1.1: 36

Answer

$1$

Work Step by Step

First, perform the computation in $\mathbb{Z}$. $3(3+3+2) = 33$. To convert to $\mathbb{Z}_4$, we find the remainder of $33$ divided by $4$, which is $1$.

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