denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P2? A. {p(t) | p' (t) is constant} B. {p(t) | p(−t) = -p(t) for all t} c. {p(t) | Sp(t)dt = 0}
denote the vector space of polynomials of degree up to 2. Which of the following subsets of P2 are subspaces of P2? A. {p(t) | p' (t) is constant} B. {p(t) | p(−t) = -p(t) for all t} c. {p(t) | Sp(t)dt = 0}
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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Transcribed Image Text:denote the vector space of polynomials of degree up to 2. Which of the following subsets of P₂ are subspaces of P2?
□A. {p(t) | p' (t) is constant }
B. {p(t) |p(-t) = -p(t) for all t}
c. {p(t) | fp(t)dt = 0}
D. {p(t) | p'(4) = p(0)}
□E. {p(t) | p' (t) + 7p(t) + 5 = 0}
F. {p(t) |p(8) = 3}
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