Answer
See below
Work Step by Step
Given $S$ be the subspace of $R^3$ consisting of all vectors of the form $v = (c_1, c_2, c_2 − 2c_1)$
Rewrite $(c_1, c_2, c_2 − 2c_1)=c_1(1,0,-2)+c_2(0,1,1)$
Hence, set of vectors $(1,0,-2),(0,1,1)$ spans $S$
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 282: 16
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.
