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6. Problem 6: For each subset of P, determine if the subset is a subspace of P2. Carefully and clearly justify your answer. (a) H = {7) \ p'() +p (1) = 0} (b) H = {F0) |p"() +p () = 2} () H= {F) \p) = br +r, beR} %3D

6. Problem 6: For each subset of P, determine if the subset is a subspace of P2. Carefully and clearly justify your answer. (a) H = {7) \ p'() +p (1) = 0} (b) H = {F0) |p"() +p () = 2} () H= {F) \p) = br +r, beR} %3D

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section: Chapter Questions
Problem 3RQ
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6. Problem 6: For each subset of P,, determine if the subset is a subspace of P2. Carefully and clearly justify your answer. (a) H = {F(1) | p'(1) + p (1) = 0} b) H = {7) |p (1) +p() = 2} (c) H = {F(1) | p() = bt + 1², b E R}
Transcribed Image Text:6. Problem 6: For each subset of P,, determine if the subset is a subspace of P2. Carefully and clearly justify your answer. (a) H = {F(1) | p'(1) + p (1) = 0} b) H = {7) |p (1) +p() = 2} (c) H = {F(1) | p() = bt + 1², b E R}
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