Let u and v be linearly independent vectors in Rn that are not orthogonal. Describe how to find the best approximation to z in Rn by vectors of the form X1u +x2v without first constructing an orthogonal basis for Span {u, v}.
Let u and v be linearly independent vectors in Rn that are not orthogonal. Describe how to find the best approximation to z in Rn by vectors of the form X1u +x2v without first constructing an orthogonal basis for Span {u, v}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let u and v be linearly independent vectors in Rn that are not orthogonal. Describe how to find the best approximation to
z in Rn by vectors of the form X1u +x2v without first constructing an orthogonal basis for Span {u, v}.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa0f40a0-6bde-4f20-a8a1-5a049cff8916%2Ff1410a42-21d7-4274-9ffe-c14d10ec765b%2F4c6t7gi.png&w=3840&q=75)
Transcribed Image Text:Let u and v be linearly independent vectors in Rn that are not orthogonal. Describe how to find the best approximation to
z in Rn by vectors of the form X1u +x2v without first constructing an orthogonal basis for Span {u, v}.
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