The vectors V₁ = basis for W. 3 -6 and v₂ = 3 1 form an orthogonal basis for W. Find an orthonormal -3 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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3
H
1
The vectors =
V₁
basis for W.
-6 and =
V2
3
- 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:3 H 1 The vectors = V₁ basis for W. -6 and = V2 3 - 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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