Equations with Roots Related by Linear Transformation

Equations with Roots Related by Linear Transformation
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2017-07-27 22:45
This example demonstrates the geometric representation of roots of equations related through linear transformations. Core math concepts include equations, roots, linear transformations, and vectors. Construction highlights the use of GeoGebra commands Root (to find roots) and Vector, with objects like points p, f, A-F, and text elements. Suitable for high school and above students to explore linear algebra and analytical geometry transformations.

GeoGebra Commands & Parameters

  1. Root(p) → A, B, C
  2. Root(f) → D, E, F
  3. Vector(A, D) → u
  4. Vector(B, E) → v
  5. Vector(C, F) → w