The vectors V₁ = 2 4 13 -5 and V₂5 2 form an 7 7 2 orthogonal basis for W. Find an orthonormal basis for W.

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
4
-5 and V₂ =
2
13
2 form an
7
2
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 4 -5 and V₂ = 2 13 2 form an 7 2 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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