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Determinant

Determinant
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2019-02-26 02:09
VectorCoordinate GeometryMatrix
This example illustrates the concept of determinant. It involves matrix and determinant as core mathematical concepts. Using GeoGebra commands such as Intersect, Vector, Determinant, Polygon, and ApplyMatrix, a geometric figure involving vectors and determinants is constructed. Suitable for high school mathematics education and learning about determinants.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Vector(O, A) → u
  3. Vector(O, B) → v
  4. Determinant(T) → detT
  5. Polygon(C, D, 4) → poly1, f, g, h, i, E, F
  6. ApplyMatrix(T, C) → C'
  7. ApplyMatrix(T, D) → D'
  8. ApplyMatrix(T, E) → E'
  9. ApplyMatrix(T, F) → F'
  10. Polygon(C', D', E', F') → q1, c', d', e', f'

AI Drawing Prompt Reference

Draw a geometric figure showing a matrix transformation. Include two vectors u and v starting from the origin. Calculate the determinant detT of the matrix formed by these two vectors. Then construct a quadrilateral poly1 and apply matrix T to transform it into a new quadrilateral q1.
The prompt above was compiled from the original drawing commands and is for reference only.