Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 4 - Vector Spaces - 4.2 Vector Spaces - 4.2 Exercises - Page 160: 1



Work Step by Step

Since the zero vector, $\textbf 0$, has the property that $$u+\textbf{ 0}=u,$$ then the zero vector of the vector space $R^4$ can be calculated as follows; Let $\textbf{0}=(a,b,c,d)$ be the zero vector of $R^4$, then for any vectro $(x,y,z,w) \in R^4$, we have $$(x,y,z,w) +(a,b,c,d)=(x,y,z,w) .$$ By comparing the components in the above equation we find that $\textbf{0}=(a,b,c,d)=(0,0,0,0)$.
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