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etermine whether the following are subs 5= {fe C(R) | f(304) = 0} a subspace of C(R)? Justify your answer. S = {(1, T2, T3, T₁) € R4 | ₁-2x3 = 0, ₁ = -4x2} a subspace of R4? Justify your answer.

etermine whether the following are subs 5= {fe C(R) | f(304) = 0} a subspace of C(R)? Justify your answer. S = {(1, T2, T3, T₁) € R4 | ₁-2x3 = 0, ₁ = -4x2} a subspace of R4? Justify your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the following are subspaces. Is S = {f E C(R) | F(304) = 0} a subspace of C(R)? Justify your answer. Is S = {(1, 2, 3, ₁) = R4 | 1-2x3 = 0, ₁ = -4x₂} a subspace of R¹? Justify your answer.
Transcribed Image Text:Determine whether the following are subspaces. Is S = {f E C(R) | F(304) = 0} a subspace of C(R)? Justify your answer. Is S = {(1, 2, 3, ₁) = R4 | 1-2x3 = 0, ₁ = -4x₂} a subspace of R¹? Justify your answer.
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