a) Let P: the vector space of all polynomials of degree 2. Prove that W= (p = Pz: p(1) = 2 p(0)) is a subspace of P:. b) Let G=Span{(1, 1, 0), (1, 0, 1)). If the vector v = (m. - (1+m), -m) belongs to G. Find the value of m.
a) Let P: the vector space of all polynomials of degree 2. Prove that W= (p = Pz: p(1) = 2 p(0)) is a subspace of P:. b) Let G=Span{(1, 1, 0), (1, 0, 1)). If the vector v = (m. - (1+m), -m) belongs to G. Find the value of m.
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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