6. Are the following sets subspaces of P₂? Why or why not? (a) U = {p = P₂|p(3)=0} (b) W = {ao + a₁x + a₂x² | α₁ + 2a2 = ao = 1}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter4: Vector Spaces
Section4.CR: Review Exercises
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6. Are the following sets subspaces of P₂? Why or why not?
(a) U = {p € P₂ | p(3) = 0}
(b) W = {ao + a₁x + a₂x² | ªo + 2a2 =
ao 1}
Transcribed Image Text:6. Are the following sets subspaces of P₂? Why or why not? (a) U = {p € P₂ | p(3) = 0} (b) W = {ao + a₁x + a₂x² | ªo + 2a2 = ao 1}
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