File:Different transformation matrices for the same map in one diagram with marked paths.svg

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Captions

Captions

Different ways to obtain a representation of a linear map by following paths in a diagram

Summary[edit]

Description
Deutsch: Eine lineare Abbildung f zwischen Vektorräumen V und W wird bezüglich zwei Basen V und W dargestellt. Diese werden als gemeinsames kommutatives Diagramm dargestellt. In dem Diagramm werden zwei Wege dargestellt die gleiche Abbildungsmatrix zu erhalten: Einmal direkt (blauer Weg) und einmal durch die andere Abbildungsmatrix (roter Weg).
English: A linear map f between vector spaces V and W is represented by two different basis. These are displayed as a combined commutative diagram. Two paths in the diagram are marked: First the direct path corresponding to the representation of the linear map (blue path). Second a path using a different representation to obtain the representation in the blue path (this is the red path).
Date
Source Own work
Author GruenerBogen

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current04:20, 24 July 2021Thumbnail for version as of 04:20, 24 July 2021204 × 89 (41 KB)GruenerBogen (talk | contribs)Uploaded own work with UploadWizard

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