Problem 3: Let V = CR ([−1, 1]) denote the vector space of continuous real-valued functions on the interval [−1, 1] with inner product defined as Let V₂ = Span{√2¹ 1 (1,9) = [*, f(x)9(x)dx. ‡, sin(πx), cos(πx), sin(2x), cos(2πx)} ≤ V Determine the orthogonal projection of the function f(x) = 1− |x| onto the subspace V₂.

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