Linear Algebra and Its Applications (5th Edition)

Published by Pearson
ISBN 10: 032198238X
ISBN 13: 978-0-32198-238-4

Chapter 2 - Matrix Algebra - 2.8 Exercises - Page 153: 6

Answer

u is in the subspace of $R^4$ generated by ${v_1,v_2,v_3}$

Work Step by Step

$\begin{bmatrix} 1&4&5&-4\\ -2&-7&-8&10\\ 4&9&6&-7\\ 3&7&5&-5 \end{bmatrix} $~$\begin{bmatrix} 1&0&-3&0\\ 0&1&2&0\\ 0&0&0&1\\ 0&0&0&0 \end{bmatrix} $, which means u is in the subspace of $R^4$ generated by ${v_1,v_2,v_3}$
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