1. Let V be the su with the inner

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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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