File:QR decomposition geometric interpretation (3D).png
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Summary
| Description |
English: Geometric interpretation of the QR decomposition in three dimensions.
A matrix A is factored as A = QR, where Q is an orthogonal matrix (representing a rotation or reflection) and R is an upper triangular matrix. The transformation is shown as a sequence: first an upper triangular transformation (R), which shears and scales the space, followed by an orthogonal transformation (Q), which rotates the result. The sequence of cubes illustrates how the coordinate system is transformed under each step. |
| Date | |
| Source | Own work |
| Author | Eteri byazrova (GraphMath) |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:38, 4 April 2026 | | 3,688 × 2,400 (683 KB) | wikimediacommons>Eteri byazrova | Uploaded own work with UploadWizard |
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