Linear Algebra and Its Applications (5th Edition)

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

Chapter 1 - Linear Equations in Linear Algebra - 1.4 Exercises - Page 42: 27

Answer

The matrix equation can be written as $c_1v_1+c_2v_2+c_3v_3+c_4v_4+c_5v_s=v_{6}$

Work Step by Step

The matrix equation can be written as $c_1v_1+c_2v_2+c_3v_3+c_4v_4+c_5v_s=v_{6}$where $c_1=-3,c_2=1,c_3=2,c_4=-1,c_5=2,$,and$v_1=\left[\begin{array}{ r }-3\\5\end{array}\right],v_2=\left[\begin{array}{ l }5\\8\end{array}\right],v_3=\left[\begin{array}{ r }-4\\1\end{array}\right],v_4=\left[\begin{array}{ r }9\\-2\end{array}\right],v_5=\left[\begin{array}{ r }7\\-4\end{array}\right],v_6=\left[\begin{array}{ r }11\\-11\end{array}\right]$
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