The vectors V₁ = basis for W -8 and v₂ = 3 - 1 -3 form an orthogonal basis for W. Find an orthonormal The orthonormal basis of the subspace spanned by the vectors is (Use a comma to separate vectors as needed.)

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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The vectors V₁
basis for W.
=
1
- 8
3
and V2
1
- 1
-3
form an orthogonal basis for W. Find an orthonormal
The orthonormal basis of the subspace spanned by the vectors is .
(Use a comma to separate vectors as needed.)
Transcribed Image Text:The vectors V₁ basis for W. = 1 - 8 3 and V2 1 - 1 -3 form an orthogonal basis for W. Find an orthonormal The orthonormal basis of the subspace spanned by the vectors is . (Use a comma to separate vectors as needed.)
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