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Linear Transformation Demo

Linear Transformation Demo
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2020-05-29 07:43
VectorFunctionTransformationGeometric Construction
This example demonstrates how linear transformations map vectors in a 2D space to other vectors, involving core math concepts like vectors, matrix transformations, linear functions, and geometric representations. It is constructed using GeoGebra commands such as Vector, Point, Polygon for basis vectors, points, and polygons, suitable for high school and above learning linear algebra and geometric transformations.

GeoGebra Commands & Parameters

  1. Vector((1, 0)) → xBasisVector
  2. Vector((0, 1)) → yBasisVector
  3. Point(u) → A
  4. Point(w) → B
  5. Point(v) → C
  6. Polygon(A, B, C) → t1, c, a, b

AI Drawing Prompt Reference

Draw a 2D linear transformation example. First, draw the unit vectors for the x-axis and y-axis. Then create three points A, B, and C to represent transformed vectors. Finally, use these points to draw a triangle, showing how linear transformations act on vectors.
The prompt above was compiled from the original drawing commands and is for reference only.