Question: Prob 2. Let V = C[-7, 7] with the inner product (f, g ) := f (t ) g(t) dt. Determine the orthogonal projection of

Prob 2. Let V = C[-7, 7] with the inner product (f, g ) := f (t ) g(t) dt. Determine the orthogonal projection of the function h(x) = exp(2ix) on the subspace (a) span(1, cos x, sin a ); (b) span (1, cos x, sin x, cos 2x, sin 2x); (c) span (1, cos x, sin x, . . ., cos nx, sinnx) for n > 2

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