Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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}.
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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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