The vectors V₁ 3 -9 and V₂ = 6 9 2 15 2 form an 9 orthogonal basis for W. Find an orthonormal basis for W. 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
and V₂ = 15
2
form an
orthogonal basis for W. Find an orthonormal basis for W.
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 and V₂ = 15 2 form an orthogonal basis for W. Find an orthonormal basis for W. The orthonormal basis of the subspace spanned by the vectors is (Use a comma to separate vectors as needed.)
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