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1. Let V be the su with the inner

1. Let V be the su with the inner

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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both a and b please

1. Let V be the subspace of R[x] of polynomials of degree at most 3. Equip V with the inner product (f\g) = | f(t)g(t)dt (1) (a) Find the orthogonal complement of the subspace of scalar polynomials. (b) Apply the Gram-Schmidt process to the basis {1, x, x², ,³}.
Transcribed Image Text:1. Let V be the subspace of R[x] of polynomials of degree at most 3. Equip V with the inner product (f\g) = | f(t)g(t)dt (1) (a) Find the orthogonal complement of the subspace of scalar polynomials. (b) Apply the Gram-Schmidt process to the basis {1, x, x², ,³}.
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