Which of the following subsets of P2 are subspaces of P₂? DA. {p(t) | Jop(t)dt = 0} B. {p(t) | p(0) = 5} c. {p(t) | p(-t) = -p(t) for all t}
Which of the following subsets of P2 are subspaces of P₂? DA. {p(t) | Jop(t)dt = 0} B. {p(t) | p(0) = 5} c. {p(t) | p(-t) = -p(t) for all t}
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:Which of the following subsets of P2 are subspaces of P₂?
OA. {p(t) | f p(t)dt =0}
B. {p(t) |p(0) = 5}
c. {p(t) |p(-t) = -p(t) for all t}
D. {p(t) | p' (7) = p(1)}
E. {p(t) | p' (t) +8p(t) + 2 = 0}
OF. {p(t) | p' (t) is constant}
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