Q6 Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W.110116222-1U₁1←1U₂ =534u3Ey=(Type an integer or simplified fraction for each matrix element.)28/04/2023 08:23

Answered: Image /qna-images/answer/2c7c0428-1455-4997-b093-9df829f21d1c.jpg

Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W HH y = 1 0 1 1 *** y= (Type an integer or simplified fraction for each matrix element.) 28/04/2023 08:23

Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W HH y = 1 0 1 1 *** y= (Type an integer or simplified fraction for each matrix element.) 28/04/2023 08:23

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 40E

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Question

Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogonal to W.
1
1
0
1
1
62
2
2
-1
U₁
1
←
1
U₂ =
53
4
u3
E
y=
(Type an integer or simplified fraction for each matrix element.)
28/04/2023 08:23

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Step 1: We find a basis for orthogonal subspace of W.

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Step 2: Now we find required sum.

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