Elementary Linear Algebra 7th Edition

by Larson, Ron

Published by Cengage Learning

ISBN 10: 1-13311-087-8

ISBN 13: 978-1-13311-087-3

Chapter 4 - Vector Spaces - 4.5 Basis and Dimension - 4.5 Exercises - Page 187: 1

Answer

$$S=\{(1,0,0,0,0,0),(0,1,0,0,0,0),(0,0,1,0,0,0),(0,0,0,1,0,0),(0,0,0,0,1,0),(0,0,0,0,0,1)\}.$$

Work Step by Step

The standard basis of $R^{6}$ is given by the set of vectors $$S=\{(1,0,0,0,0,0),(0,1,0,0,0,0),(0,0,1,0,0,0),(0,0,0,1,0,0),(0,0,0,0,1,0),(0,0,0,0,0,1)\}.$$

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