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: 4


$$[x]_S=\left[ \begin {array}{ccc} -6\\ 12\\ -4\\ 9\\-8\end {array} \right].$$

Work Step by Step

Since we have $$x= -6(1,0,0,0,0)+12(0,1,0,0,0)-4(0,0,1,0,0)+9(0,0,0,1,0)-8(0,0,0,0,1),$$ then the coordinate matrix of $x$ in $R^5$ relative to the standard basis is $$[x]_S=\left[ \begin {array}{ccc} -6\\ 12\\ -4\\ 9\\-8\end {array} \right].$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.