File:Generalized inverse subspaces-left.svg
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Original file (SVG file, nominally 512 × 777 pixels, file size: 38 KB)
Summary
| Description |
English: Visualize a left inverse X of a matrix A, both viewed as linear maps between the vector spaces U and V. A is injective, and X maps A's image back to the domain bijectively. Also, X maps a complemented subspace of A's image all to zero. If the complement is the orthogonal complement, then X is the Moore–Penrose inverse.
Here, “K∁ is a complemented subspace of K” means that their direct sum spans the whole space, yet they intersect only at the zero vector. |
| Date | |
| Source | Own work |
| Author | David, but not Hilbert |
| Other versions |
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| SVG development |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:44, 9 December 2025 | | 512 × 777 (38 KB) | wikimediacommons>David, but not Hilbert | Uploaded own work with UploadWizard |
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