Let 3 3 -5 2 3 v1 = ,0₂ = and v3 0 4 0 3 H 3 0 4 = -2 5 0 Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. The wi must be given in the same order as provided by the standard procedure. W1 = help (numbers) (1,2) help (numbers) = (1, 1) = help (numbers) W2 help (numbers) (1,3)-help (numbers) = (w2, v3) = help (numbers) (,) help (numbers) = W3 help (numbers) Book: Section A.5 of Notes on Diffy Qs

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 30RE
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Let
3
3
-5
2
3
v1 =
,0₂ =
and v3
0
4
0
3
H
3
0
4
=
-2
5
0
Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. The wi
must be given in the same order as provided by the standard procedure.
W1
=
help (numbers)
(1,2) help (numbers)
=
(1, 1) = help (numbers)
W2
help (numbers)
(1,3)-help (numbers)
=
(w2, v3)
=
help (numbers)
(,) help (numbers)
=
W3
help (numbers)
Book: Section A.5 of Notes on Diffy Qs
Transcribed Image Text:Let 3 3 -5 2 3 v1 = ,0₂ = and v3 0 4 0 3 H 3 0 4 = -2 5 0 Use the Gram-Schmidt procedure to produce an orthogonal set with the same span. The wi must be given in the same order as provided by the standard procedure. W1 = help (numbers) (1,2) help (numbers) = (1, 1) = help (numbers) W2 help (numbers) (1,3)-help (numbers) = (w2, v3) = help (numbers) (,) help (numbers) = W3 help (numbers) Book: Section A.5 of Notes on Diffy Qs
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