Now solved: For 312, determine whether the given set (together with the usual operations

Chapter 4, Problem 10

(choose chapter or problem)

For 312, determine whether the given set (together with the usual operations on that set) forms a vector space over R. In all cases, justify your answer carefully.The set of all functions f : [0, 1][0, 1] such thatf (0) = f ( 14 ) = f ( 12 ) = f ( 34 ) = f (1) = 0.

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