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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 +5t + 9t2 and q(t) = 1+ 4t, 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 +5t + 9t2 and q(t) = 1+ 4t, what is the orthogonal projection of p(t) onto q(t)?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 63E
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please send complete correct answers Q28

Question 28 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+5t + 9t and q(t) = 1+ 4t, what is the orthogonal projection of p(t) anto q(t)?
Transcribed Image Text:Question 28 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+5t + 9t and q(t) = 1+ 4t, what is the orthogonal projection of p(t) anto q(t)?
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