File:Compound matrix and area.svg

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    Original file (SVG file, nominally 736 × 346 pixels, file size: 157 KB)

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    Summary

    Description
    English: A small rectangle dx1×dx2 in R⊂ℝ2 is mapped by f to a surface patch in ℝ3, spanned by its partial derivatives.
    Date
    Source Wikimedia Commons – derived from File:Jacobian_determinant_and_distortion.svg
    Author Blacklemon67

    Licensing

    w:en:Creative Commons
    attribution
    This file is licensed under the Creative Commons Attribution 3.0 Unported license.
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    • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.

    Captions

    A small rectangle <math>dx_1 \times dx_2</math> in <math>R \subset \mathbb{R}^2</math> is mapped by <math>f</math> to a surface patch in <math>\mathbb{R}^3</math>, spanned by its partial derivatives.

    Items portrayed in this file

    depicts

    inception

    22 April 2015

    media type

    image/svg+xml

    File history

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    current05:14, 3 January 2026Thumbnail for version as of 05:14, 3 January 2026736 × 346 (157 KB)wikimediacommons>Saung TadashiUploaded a work by Blacklemon67 from Wikimedia Commons – derived from File:Jacobian_determinant_and_distortion.svg with UploadWizard

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