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Consider the vector space of all piecewise continuous functions on the interval [0, 1]. The set…

Consider the vector space of all piecewise continuous functions on the interval [0, 1]. The set…

Consider the vector space of all piecewise continuous functions on the interval [0, 1]. The set  which is defined in Figure E15.1, contains three vectors from this vector space.i. Show that this set is linearly independent. ii. Generate an orthogonal set using the Gram-Schmidt procedure. The inner product is defined to beFigure E15.1