Let f, g € P₂ (R) and define (ƒ, g) = f(0)g(0). Select all the conditions which (.,.) do not met, or else conclude that (·, ) is an inner product on P₂ Select all correct options. (f,g) = (g, f) for every f, g = P₂ (R) (f+g, h) = (f, h) + (g, h) for every f, g, h = P₂ (R) (Af, g) = X(f, g) for every f, g = P₂ (R) and X ER 000 (f, f) ≥ 0 for every f = P₂ (R) (f, f) = 0 if and only if f is the zero polynomial. (..) is an inner product on Po(R)

Let f, g € P₂ (R) and define (ƒ, g) = f(0)g(0). Select all the conditions which (.,.) do not met, or else conclude that (·, ) is an inner product on P₂ Select all correct options. (f,g) = (g, f) for every f, g = P₂ (R) (f+g, h) = (f, h) + (g, h) for every f, g, h = P₂ (R) (Af, g) = X(f, g) for every f, g = P₂ (R) and X ER 000 (f, f) ≥ 0 for every f = P₂ (R) (f, f) = 0 if and only if f is the zero polynomial. (..) is an inner product on Po(R)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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