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Question 27 Suppose that P₂ is an inner product space with inner product given by evaluation at- q=3+2t², where p, q are in P₂. Compute ||p|| and || (p, q) ||- Op 1-2√5 and || (p, q) = 10 O p = 4√3 and (p. g) = 10 Op 1-20 and (p.g) = -10 Olp - √59 and (p.q) = -10 Olp-2√5 and (p.g) = -10

Question 27 Suppose that P₂ is an inner product space with inner product given by evaluation at- q=3+2t², where p, q are in P₂. Compute ||p|| and || (p, q) ||- Op 1-2√5 and || (p, q) = 10 O p = 4√3 and (p. g) = 10 Op 1-20 and (p.g) = -10 Olp - √59 and (p.q) = -10 Olp-2√5 and (p.g) = -10

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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Question 27 Suppose that P₂ is an inner product space with inner product given by evaluation at -1,0 and 1. If p = 3t-t² and q=3+2t², where p, q are in P₂. Compute ||p|| and || (p, q) ||- Olp - 2√5 and || (p, q) || = 10 Op = 4√3 and (p. g) = 10 Op 1-20 and (p.g) = -10 Olp - √59 and (p.g) ||=-10 Op 1-2√5 and (p.g) = -10
Transcribed Image Text:Question 27 Suppose that P₂ is an inner product space with inner product given by evaluation at -1,0 and 1. If p = 3t-t² and q=3+2t², where p, q are in P₂. Compute ||p|| and || (p, q) ||- Olp - 2√5 and || (p, q) || = 10 Op = 4√3 and (p. g) = 10 Op 1-20 and (p.g) = -10 Olp - √59 and (p.g) ||=-10 Op 1-2√5 and (p.g) = -10
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