3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.
3 2 1 Let u [-]--[-]-[] -3 V 2 and w= 1 0 -1 4 (a) Show that B = {u, v, w} is an orthogonal basis.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:3
Let u
-3
-1
=
and w=
0
-1
4
(a) Show that B = {u, v, w} is an orthogonal basis.
2
2
1
1
![(b) Compute [x]B, where x =
5
-3
1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F49827e34-ed77-4446-abbe-f8fa5f881abe%2F7e1f4309-a5d6-41c9-a5b8-f8e51711e578%2F2ptnudh_processed.png&w=3840&q=75)
Transcribed Image Text:(b) Compute [x]B, where x =
5
-3
1
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