Inner Product Space, Finite Dimensional Subspace, Orthonormal Basis and Orthogonal Projections
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Let V be an inner product space and W ⊂ V be a finite dimensional space with ONB {u1...u2}. For every x Є V
define P(x) =Σ i=1-->n <x,ui>ui
i) Prove that x-P(x)ЄW
ii) Prove that P is the orthogonal projection of W.
iii)...
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Inner Product Space, Finite Dimensional Subspace, Orthonormal Basis and Orthogonal Projections are investigated.
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Let be an inner product space and a finite dimensional subspace with orthogonal basis ...
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