File:QR decomposition geometric interpretation (2D).png
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Summary
| Description |
English: Geometric interpretation of the QR decomposition in two 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 grid, followed by an orthogonal transformation (Q), which rotates the result. The grid illustrates how the basis vectors are transformed under each step. |
| Date | |
| Source | Own work |
| Author | Eteri byazrova (GraphMath) |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:26, 4 April 2026 | | 1,611 × 2,672 (213 KB) | wikimediacommons>Eteri byazrova | Uploaded own work with UploadWizard |
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