Answer
See answer below
Work Step by Step
We are given $S=\{(1,2,-1,0),(1,0,1,2),(-1,1,1,0),(1,-1,-1,0)\}$ in $R^4$
We will check: $(v_1,v_2)==(-1).1+1.(-1)+1.(-1)_0=-3 \ne 0$
Hence, $S$ is not an orthogonal set in $R^4$
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 5 - Inner Product Spaces - 5.2 Orthogonal Sets of Vectors and Orthogonal Projections - Problems - Page 360: 4
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.
