Answer
Yes.
Work Step by Step
We know that if $av_1+bv_2=v$, then $-a+3b=5,a+b=3,2a-4b=-6$.
Thus $(-a+3b)+(a+b)=5+3\\4b=8\\b=2$
$a+b=a+2=3\\a=1$
And this satisfies the last equation because$2(1)-4(2)=2-8=-6$, thus it is in the span.
Differential Equations and Linear Algebra (4th Edition)
by Goode, Stephen W.; Annin, Scott A.
Published by
Pearson
ISBN 10:
0-32196-467-5
ISBN 13:
978-0-32196-467-0
Chapter 4 - Vector Spaces - 4.4 Spanning Sets - Problems - Page 283: 38
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
