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Linear Transformation Vector Demo

Linear Transformation Vector Demo
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2019-02-22 04:25
VectorTransformationGeometric Construction
This example demonstrates the effect of a linear transformation on vector u. It involves core mathematical concepts like linear transformations and their geometric interpretations. Constructed using commands like Vector, Point, Circle, it is suitable for high school and above students to understand the properties of linear transformations.

GeoGebra Commands & Parameters

  1. Vector(A, B) → r
  2. Vector(A, C) → s
  3. Point(xAxis) → D
  4. Point(yAxis) → E
  5. Point(s) → H
  6. Point(xAxis) → I
  7. Circle(H, I) → c
  8. Point(s) → J
  9. Circle(J, K) → d
  10. Vector(J, L) → u
  11. Vector(J, M) → v
  12. Vector(A_1, C_1) → s_1
  13. Point(s_1) → H_1
  14. Point(s_1) → J_1
  15. Vector(J_1, L_2) → u_1
  16. Vector(A_2, C_2) → s_2
  17. Point(s_2) → H_2
  18. Point(s_2) → J_2
  19. Vector(J_2, L_3) → u_2
  20. Vector(A_3, C_3) → s_3
  21. Point(s_3) → H_3
  22. Point(s_3) → J_3
  23. Vector(J_3, L_4) → u_3