Berlin 2018 – wissenschaftliches Programm

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 7: Poster

SOE 7.2: Poster

Montag, 12. März 2018, 17:00–20:00, Poster E

The Geometry of Moore-Penrose Generalized Matrix Inverses — •Martin Erik Horn — Berlin School of Economics and Law/HWR Berlin, FB 1 -- Department of Business and Economics, FE Quantitative Methods

More and more introductory business mathematics textbooks present Moore-Penrose generalized matrix inverses as elementary part of the foundations of mathematical economics. This is a didactical problem as most textbooks introduce these inverses by purely algebraic reasoning based on the four Moore-Penrose conditions.

To give a complete picture of these mathematical structures it is helpful to introduce and to describe Moore-Penrose generalized matrix inverses also by using geometric representations based on the ideas of Grassmann's theory of extensions. This didactical path will enable learners to understand that a Moore-Penrose inverse only is the scalar part of a more natural geometric matrix inverse which usually possesses higher-dimensional terms, too