Needed to be solved correclty in 30 minutes and get the thumbs up please solve in 30 minutes correctly by hand solution needed. Do is as soon as possible but before 35 minutes pleaseThanks Consider the inner product space (P2, (, )) with the inner product(p(t), q(t)) = p(-1)q(-1) +p(0)q(0) + p(1)q(1).where p(t) and q(t) are in P2.If p(t) = 4 +t2and q(t) = 2+t, what is the orthogonal projection of p(t)onto q(t)?

Answered: Image /qna-images/answer/35561943-d25c-4b8b-bcfe-2bb0dfbefa93.jpg

Consider the inner product space (P2, (, )) with the inner product (p(t), q(t)) = p(-1)q(-1)+p(0)q(0) + p(1)q(1). where p(t) and q(t) are in P2. If p(t) = 4 + t and q(t) = 2+ t, what is the orthogonal projection of p(t) onto q(t)?

Consider the inner product space (P2, (, )) with the inner product (p(t), q(t)) = p(-1)q(-1)+p(0)q(0) + p(1)q(1). where p(t) and q(t) are in P2. If p(t) = 4 + t and q(t) = 2+ t, what is the orthogonal projection of p(t) onto q(t)?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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Question

Needed to be solved correclty in 30 minutes and get the thumbs up please solve in 30 minutes correctly by hand solution needed. Do is as soon as possible but before 35 minutes please Thanks

Consider the inner product space (P2, (, )) with the inner product
(p(t), q(t)) = p(-1)q(-1) +p(0)q(0) + p(1)q(1).
where p(t) and q(t) are in P2.
If p(t) = 4 +
t2
and q(t) = 2+t, what is the orthogonal projection of p(t)
onto q(t)?

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