In the space C[0, π] let f, g, h, and j be the vectors defined by f(x) = 1 g(x) = x h(x) = COS X j(x) = cos2 2 or 0≤x≤ T. Show that f, g, h, and j are linearly dependent by writing j as a linear combination of f, g, and h. Answer: i = f+ 9 + h.

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