Let V = C0[0, 1] and for f and g in V, consider the mapping f, g = 1 0 x f (x)g(x)dx

Chapter 5, Problem 16

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Let V = C0[0, 1] and for f and g in V, consider the mapping f, g = 1 0 x f (x)g(x)dx. Does this define a valid inner product on V? Show why or why not.

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