Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors. V₁ = (1,-1,7,3), v₂ = (2,-1,5,2), v3 = (1, 0, -2, -1) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}.

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 59CR
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Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors.
V1 =
(1,-1,7,3),
V2 = (2,-1,5,2), V3 =
(1, 0, -2, -1)
The required basis can be written in the form
{(x, y, 1, 0), (z, w, 0, 1)}.
Transcribed Image Text:Find a basis for the orthogonal complement of the subspace of Rª spanned by the following vectors. V1 = (1,-1,7,3), V2 = (2,-1,5,2), V3 = (1, 0, -2, -1) The required basis can be written in the form {(x, y, 1, 0), (z, w, 0, 1)}.
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