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 - 4.7 Coordinates and Change of Basis - 4.7 Exercises - Page 210: 1


$$[x]_S=\left[ \begin {array}{ccc} 5\\ -2\end {array} \right]$$

Work Step by Step

Since we have $$x=5(1,0)-2(0,1),$$ then the coordinate matrix of $x$ in $R^2$ relative to the standard basis is $$[x]_S=\left[ \begin {array}{ccc} 5\\ -2\end {array} \right]$$
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