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In Exercises 5-14, the space is C[0, 2π] with the inner product (6).
14. Suppose the first few Fourier coefficients of some function f in C[0, 2π] are a0, a1, a2, and b1, b2, b3. Which of the following trigonometric polynomials is closer to f? Defend your answer.
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Chapter 6 Solutions
Linear Algebra and Its Applications (5th Edition)
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