Let Pala, b) be the linear space of polyuomial funetions of degree less than or equal to 2 in the interva la. b), and equip it with scalar product (2)- ptate) dt. Find an ON-basis for the subspace N. N = {p e P2l-1, 1]: p(-1) = 3p(0)}
Let Pala, b) be the linear space of polyuomial funetions of degree less than or equal to 2 in the interva la. b), and equip it with scalar product (2)- ptate) dt. Find an ON-basis for the subspace N. N = {p e P2l-1, 1]: p(-1) = 3p(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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![Let Pala, bj be the linear space of polynomial functions of degree less than or equal to 2 in the interva
la, b), and equip it with scalar product g) = Pit)a(t) dt. Find an ON-basis for the subspace N.
В.5
N = {p € P2[-1, 1] : p(-1) = 3p(0)}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffedec5b6-633e-41cb-9609-0a22bb0833b5%2Ff6041328-ab64-4fb8-97a1-21faa5a9bc21%2F8162af_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let Pala, bj be the linear space of polynomial functions of degree less than or equal to 2 in the interva
la, b), and equip it with scalar product g) = Pit)a(t) dt. Find an ON-basis for the subspace N.
В.5
N = {p € P2[-1, 1] : p(-1) = 3p(0)}
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