MathPlotAI Logo MathPlotAI

Prime Number Factor Relationship Demo

Prime Number Factor Relationship Demo
Loading the math board and drawing, please wait…
2015-12-19 11:30
Coordinate GeometrySolid GeometryMatrixGeometric Construction
This example demonstrates the dynamic relationship between variables a, b, and c through prime factorization using GeoGebra. Key math concepts include prime factor decomposition, matrix operations (MatrixRank, ReducedRowEchelonForm), and geometric constructions (Segment, Locus). Construction highlights involve using the Factors command for prime factors, matrix analysis, and geometric drawing. Suitable for high school and above mathematics education, illustrating the application of number theory and geometry.

GeoGebra Commands & Parameters

  1. Factors(d) → matrix2
  2. Factors(e) → matrix3
  3. Factors(h) → matrix4
  4. Factors(d / 2) → matrix5
  5. Factors(e / 2) → matrix6
  6. Factors(b) → matrix1
  7. MatrixRank(matrix1) → i
  8. MatrixRank(matrix2) → j
  9. MatrixRank(matrix3) → k
  10. MatrixRank(matrix4) → l
  11. MatrixRank(matrix5) → m
  12. MatrixRank(matrix6) → n
  13. ReducedRowEchelonForm(matrix1) → matrix7
  14. ReducedRowEchelonForm(matrix2) → matrix8
  15. ReducedRowEchelonForm(matrix3) → matrix9
  16. ReducedRowEchelonForm(matrix4) → matrix10
  17. ReducedRowEchelonForm(matrix5) → matrix11
  18. ReducedRowEchelonForm(matrix6) → matrix12
  19. Segment(A, B) → p
  20. Segment(C, D) → q
  21. Transpose(matrix1) → matrix13
  22. Transpose(matrix2) → matrix14
  23. Transpose(matrix3) → matrix15
  24. Transpose(matrix4) → matrix16
  25. Transpose(matrix5) → matrix17
  26. Transpose(matrix6) → matrix18