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.6441u₁101U₂142- 3101y=(Type an integer or simplified fraction for each matrix element.)

In this question, the concept of the Orthogonal Decomposition theorem is applied. The vector…

Answered: Let W be a subspace spanned by the u's,…

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 54CR: Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector...

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In Exercises 24-45, use Theorem 6.2 to determine whether W is a subspace of V. V=Mnn, W is the set of diagonal nn matrices
Let V be an two dimensional subspace of R4 spanned by (0,1,0,1) and (0,2,0,0). Write the vector u=(1,1,1,1) in the form u=v+w, where v is in V and w is orthogonal to every vector in V.

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Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector orthogona 6 4 4 u₁ 1 0 1 U₂ 1 4 2 3 U3 1 0 1 1 y= Tyne an integer or simplified fraction for each matrix element.)