Question Number :1 Correct :1 Wrong : 0 Consider the vector space V = {a, + a,x+a,x²:a, eR for i = 0,1.2) of polymomials of degree at most 2. Let f:V-→R be a linear functional such that f(1+x)=0, f(l-x')=0 and f(x? -x)=2. Then f(l+x+x°) equals

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.FOM: Focus On Modeling: Vectors Fields
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Question Number : 1
Correct :1 Wrong : 0
Consider the vector space V = {a, + a;x+ a;x³ :a, eR for i = 0,1,2} of polynomials of degree
at most 2. Let f:V→R be a linear functional such that f(1+x) =0, f(-x)=0 and
f(? –x)=2. Then f(l+x+x³) equals,
Transcribed Image Text:Question Number : 1 Correct :1 Wrong : 0 Consider the vector space V = {a, + a;x+ a;x³ :a, eR for i = 0,1,2} of polynomials of degree at most 2. Let f:V→R be a linear functional such that f(1+x) =0, f(-x)=0 and f(? –x)=2. Then f(l+x+x³) equals,
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