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    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) =&#931; i=1-->n <x,ui>ui
    i) Prove that x-P(x)&#1028;W
    ii) Prove that P is the orthogonal projection of W.
    iii)...

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    https://brainmass.com/math/geometry-and-topology/finite-dimensional-subspace-orthonormal-basis-projections-65852

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    Let be an inner product space and a finite dimensional subspace with orthogonal basis ...

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    Inner Product Space, Finite Dimensional Subspace, Orthonormal Basis and Orthogonal Projections are investigated.

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