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Linear Algebra & Mapping Diagrams: Old & New Visualizations

https://www.geogebra.org/m/vydftwmb Linear Algebra and Mapping Diagrams: Old & New Visualizations Visualizing Linear (Matrix) Transformation Algebra is explored with mapping diagrams for maps from . The visualization of 2 x 2 matrix (linear) transformations traditionally has been created as a geometric transformation of planar figures in a cartesian plane or as a mapping diagram between two frames representing distinct cartesian planes. In this presentation Professor Flashman will review core concepts of linear algebra with these visualizations while introducing a new visualization created using GeoGebra of mapping diagrams between parallel cartesian planes in 3 dimensions. Of special interest are visualizations of matrix multiplication as composition and Gauss Jordan Elimination in solving linear equations and finding inverses. GeoGebra activities will be available on-line. Some familiarity with elementary matrix algebra will be presumed.
Linear Algebra & Mapping Diagrams: Old & New Visualizations