Which of the following subsets of P2 are subspaces of P2? A. {p(t) | S P(t)dt = 0} B. {p(t) | p(2) = 2} C. {p(t) | p'(t) is constant } D. {p(t) | p(-t) = -p(t) for all t} E. {p(t) | p'(t) + 8p(t) + 9 = 0} F. {p(t) | p'(3) = p(0)}

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.CR: Review Exercises
Problem 26CR
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Which of the following subsets of P2 are subspaces of
P2?
A. {p(t) | So P(t)dt = 0}
B. {p(t) | p(2) = 2}
C. {p(t) | p'(t) is constant }
D. {p(t) | p(-t) = -p(t) for all t}
E. {p(t) | p'(t) + 8p(t) + 9 = 0}
F. {p(t) | p'(3) = p(0)}
Transcribed Image Text:Which of the following subsets of P2 are subspaces of P2? A. {p(t) | So P(t)dt = 0} B. {p(t) | p(2) = 2} C. {p(t) | p'(t) is constant } D. {p(t) | p(-t) = -p(t) for all t} E. {p(t) | p'(t) + 8p(t) + 9 = 0} F. {p(t) | p'(3) = p(0)}
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