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Question: 3 20 points let us consider a real hilbert space...

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3. (20 points) Let us consider a real Hilbert space of pairs of numbers,t (21, 72). The scalar product is defined by formula → def a) Find an orthogonal basis of this space such that а-[1,1] is the first vector of the basis. Normalize the basis. Do not forget that the norm is derived from the scalar product. S olution: 1.1 ]/V3, ±[1,-2/V6

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