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Let V be the vector space P3[2] of polynomials in x with degree less than 3 and W be the subspace W = span{9 +4x6x²,6-7x8r²}. a. Find a nonzero polynomial p(x) in W. p(x) = b. Find a polynomial g(x) in V\ W.

Let V be the vector space P3[2] of polynomials in x with degree less than 3 and W be the subspace W = span{9 +4x6x²,6-7x8r²}. a. Find a nonzero polynomial p(x) in W. p(x) = b. Find a polynomial g(x) in V\ W.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 24CM
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Let V be the vector space P3[2] of polynomials in with degree less than 3 and W be the subspace W = span{9+ 4x - 6x²,6-7x8x²}. a. Find a nonzero polynomial p(x) in W. p(x) = b. Find a polynomial g(x) in V\W. q(x)
Transcribed Image Text:Let V be the vector space P3[2] of polynomials in with degree less than 3 and W be the subspace W = span{9+ 4x - 6x²,6-7x8x²}. a. Find a nonzero polynomial p(x) in W. p(x) = b. Find a polynomial g(x) in V\W. q(x)
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