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 +
Posted: Thu May 12, 2022 1:00 pm
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).