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(a) Prove the set (A(*)./a(*),fa(a)) is linearly independent. (b) Use Gram-Schmit process to find an orthognal function from (/1,h.)

(a) Prove the set (A(*)./a(*),fa(a)) is linearly independent. (b) Use Gram-Schmit process to find an orthognal function from (/1,h.)

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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Let fi(x) = 3, f2(x) = 1- x and f3(x) = r2 + 2x – 1. 1
Transcribed Image Text:Let fi(x) = 3, f2(x) = 1- x and f3(x) = r2 + 2x – 1. 1
(a) Prove the set (A).a(). fa(a)) is linearly independent. (b) Use Gram-Schmit process to find an orthognal function from (/1,b.) over (0, 1).
Transcribed Image Text:(a) Prove the set (A).a(). fa(a)) is linearly independent. (b) Use Gram-Schmit process to find an orthognal function from (/1,b.) over (0, 1).
Expert Solution
Step 1

Given,

    f1(x)=3,  f2(x)=1-x, and f3(x)=x2+2x-1

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