Let = 3 -26 4 -{--8--[F]--A} 26 , = 52 , = find an orthogonal basis under the Euclidean inner product. 3 be a basis for R³. Use the Gram-Schmidt process to a ---0--0--8} Orthogonal basis: = 2 = 30 V3 = 52 a = Ex: 1.23 b = Ex: 1.23 с Ex: 1.23

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 47CR: Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}
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Let
=
3
-26
4
-{--8--[F]--A}
26
, =
52
, =
find an orthogonal basis under the Euclidean inner product.
3
be a basis for R³. Use the Gram-Schmidt process to
a
---0--0--8}
Orthogonal basis:
= 2
= 30
V3 =
52
a =
Ex: 1.23
b = Ex: 1.23
с Ex: 1.23
Transcribed Image Text:Let = 3 -26 4 -{--8--[F]--A} 26 , = 52 , = find an orthogonal basis under the Euclidean inner product. 3 be a basis for R³. Use the Gram-Schmidt process to a ---0--0--8} Orthogonal basis: = 2 = 30 V3 = 52 a = Ex: 1.23 b = Ex: 1.23 с Ex: 1.23
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