1. (-Let W₁-BE]>---CE)-and W₂ ==1 -1(a) Find a basis for W₁ W₂. What is dim(W₁ W₂)?(b) Show that R³ =W₁ + W₂.(c) Find a subspace U such that R³ = W₁ OU.be given subspaces of R³.

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Answered: 1. (- Let W₁ --E--E) and W₂ = = 1 -1…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 7EQ

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1. (- Let W₁ --E--E) and W₂ = = 1 -1 (a) Find a basis for W₁ W₂. What is dim(W₁ W₂)? (b) Show that R³ =W₁ + W₂. (c) Find a subspace U such that R³ = W₁ OU. be given subspaces of R³.