3 -50 Let Uj = be a basis for Rº. Use the Gram-Schmidt process to , U2 = , U3 = 75 find an orthogonal basis under the Euclidean inner product. 3 56 Orthogonal basis: Vị = 42 , V2 = , V3 = 75 a = Ex: 1.23 : b= Ex: 1.23 : с — Еx: 1.23

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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{-
3
50
2
Let
ui
4
u2
50
u3
be a basis for R’. Use the Gram-Schmidt process to
75
find an orthogonal basis under the Euclidean inner product.
3
-56
а
Orthogonal basis:
V1
V2
42
, V3
75
C
Ex: 1.23 9
b =
= Ex: 1.23 S
c = Ex: 1.23
a =
Transcribed Image Text:{- 3 50 2 Let ui 4 u2 50 u3 be a basis for R’. Use the Gram-Schmidt process to 75 find an orthogonal basis under the Euclidean inner product. 3 -56 а Orthogonal basis: V1 V2 42 , V3 75 C Ex: 1.23 9 b = = Ex: 1.23 S c = Ex: 1.23 a =
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