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

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

Consider the vector space of all piece wise continuous functions on the interval [0,1]. The set  which is defined in Figure E15.2, contains two vectors from this vector space.Figure E15.2i. Generate an orthogonal set using the Gram-Schmidt procedure. The inner product is defined to beii. Expand the vectors   and  in Figure E15.3 in terms of the orthogonal set you created in Part 1. Explain any problems you find.