Let V = P2(t) with inner product defined by (f, g) = So f(t)g(t) dt. Find a basis for the subspace W of V orthogonal to h(t) = 2t + 1.
Let V = P2(t) with inner product defined by (f, g) = So f(t)g(t) dt. Find a basis for the subspace W of V orthogonal to h(t) = 2t + 1.
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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you don't have to show the product is an inner product, but you can if you would like.
Transcribed Image Text:Let V = P2(t) with inner product defined by (f, g) = S f(t)g(t) dt.
Find a basis for the subspace W of V orthogonal to h(t) = 2t + 1.
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