. Determine if the polynomials p(t) = t + 6, q(t) = t2 – 3t are orthogonal under the inner product (Flg) = L, f(t)g(t)dt. %3D %3D
. Determine if the polynomials p(t) = t + 6, q(t) = t2 – 3t are orthogonal under the inner product (Flg) = L, f(t)g(t)dt. %3D %3D
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
![2. Determine if the polynomials \( p(t) = t + 6 \), \( q(t) = t^2 - 3t \) are orthogonal under the inner product
\[
\langle f|g \rangle = \int_{-1}^{1} f(t)g(t) \, dt.
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F410816ed-4be2-4291-b0fb-4c8f4b2206ab%2F66d5bd3a-e82f-4021-8b49-725cd3e0cc53%2Fp4l0nq3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Determine if the polynomials \( p(t) = t + 6 \), \( q(t) = t^2 - 3t \) are orthogonal under the inner product
\[
\langle f|g \rangle = \int_{-1}^{1} f(t)g(t) \, dt.
\]
Expert Solution
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We will check whether the given polynomials are orthogonal or not .
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