-80 20 []} 60 find an orthogonal basis under the Euclidean inner product. Let U₁ = 4 Orthogonal basis: a = Ex: 1.23 , U₂ = 2 V1 = -72 (==} , V2 = 36 V3 = 60 0 , uz = b = Ex: 1.23 be a basis for R³. Use the Gram-Schmidt process to c = Ex: 1.23 a

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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Question
-80
[]
60
find an orthogonal basis under the Euclidean inner product.
Let
{
U₁
=
2
Orthogonal basis:
a Ex: 1.23
2
U2
V1
=
=
20 U3
2
H
b = Ex: 1.23
V2
2
=
=
1
ED
3
- 72
[]
60
9
V3
c = Ex: 1.23
be a basis for R³. Use the Gram-Schmidt process to
=
α
[B]}
b
Transcribed Image Text:-80 [] 60 find an orthogonal basis under the Euclidean inner product. Let { U₁ = 2 Orthogonal basis: a Ex: 1.23 2 U2 V1 = = 20 U3 2 H b = Ex: 1.23 V2 2 = = 1 ED 3 - 72 [] 60 9 V3 c = Ex: 1.23 be a basis for R³. Use the Gram-Schmidt process to = α [B]} b
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