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Apply Matrix Example

Apply Matrix Example
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2019-12-09 23:58
VectorMatrix
This example demonstrates the application of matrices to transform geometric figures, particularly ellipses and vectors. Core mathematical concepts include matrices, transformations, and vectors. Key GeoGebra commands used in the construction are Intersect, Point, Polygon, Ellipse, Vector, and ApplyMatrix. It is suitable for high school and above students to learn and understand the application of matrix transformations in geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Polygon(A, B, 4) → p, f, g, h, i, C, D
  4. Ellipse(E, F, G) → c
  5. Ellipse(E, F, G) → d
  6. Vector((2, 1)) → u
  7. ApplyMatrix(M, {p, c, u}) → c'