Find the projection of f(x) = 22 onto the space spanned by the vectors vi = 1 and v2 = r with inner product (f,g) = 1 +
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Find the projection of f(x) = 22 onto the space spanned by the vectors vi = 1 and v2 = r with inner product (f,g) = 1 +
Find the projection of f(x) = 22 onto the space spanned by the vectors vi = 1 and v2 = r with inner product (f,g) = 1 + $()g(1) dr. Hint: Use Pf = (f, ui)ui + (f, u2)u2. This is the Fourier expansion on page 299, definition (5.4.3).
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