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7. Let (-) be the evaluation inner product on P2 at -1, 0, and 1. That is, for any p = p(x) and q = q (x), we have (p, q) = p(-1)q(−1) + p(0)q(0) + p(1)q(1). Determine whether or not the set (1+x², x, x+x²} is orthogonal in this inner product.

7. Let (-) be the evaluation inner product on P2 at -1, 0, and 1. That is, for any p = p(x) and q = q (x), we have (p, q) = p(-1)q(−1) + p(0)q(0) + p(1)q(1). Determine whether or not the set (1+x², x, x+x²} is orthogonal in this inner product.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Q7 Write on paper and write the question too so I can print. Will upvote if correct and done. Thanks a lot.
7. Let () be the evaluation inner product on P2 at -1, 0, and 1. That is, for any p = p(x) and q = q(x), we have (p, q) = p(-1)q(-1) + p(0)q(0) + p(1)q(1). Determine whether or not the set [1 + x², x, x+x²} is orthogonal in this inner product.
Transcribed Image Text:7. Let () be the evaluation inner product on P2 at -1, 0, and 1. That is, for any p = p(x) and q = q(x), we have (p, q) = p(-1)q(-1) + p(0)q(0) + p(1)q(1). Determine whether or not the set [1 + x², x, x+x²} is orthogonal in this inner product.
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7 I can't understand this, Write on paper and write the question too so I can print. Will upvote if correct and done. Thanks a lot.

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