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{} : 2х — у 3D 0 Ly. W =

{} : 2х — у 3D 0 Ly. W =

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.1: Lines
Problem 2ECP
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Find the orthogonal complement W⊥ of W and give a basis for W ⊥

{} : 2х — у 3D 0 Ly. W =
Transcribed Image Text:{} : 2х — у 3D 0 Ly. W =
Expert Solution
Step 1

Orthogonal Complement:

    Let W  be a subspace of ℝn. Then the orthogonal complement is

the subspace

                     W⊥=u∈ℝn | u·w=0 ∀ w∈W .

Given the subspace 

                  W=xy: 2x-y=0.

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