File:Orthogonal projection using an orthonormal basis.png

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    English: A vector y is projected onto the subspace V = col(U) spanned by orthonormal vectors û₁, û₂. Each component p₁, p₂ is the projection of y onto û₁ and û₂, and their sum gives proj_V y. Algebraically, proj_V y = ∑ (y·ûᵢ) ûᵢ = ∑ (ûᵢ ûᵢᵀ y).
    Date
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    Author Eteri byazrova (GraphMath)

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    Captions

    Orthogonal projection of a vector onto a subspace spanned by orthonormal vectors, shown as the sum of its components along each direction.

    9 April 2026

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    current01:31, 10 April 2026Thumbnail for version as of 01:31, 10 April 20263,120 × 2,344 (367 KB)wikimediacommons>Eteri byazrovaUploaded own work with UploadWizard

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