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Systems of Linear Equations

Systems of Linear Equations
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2017-08-01 13:21
Coordinate GeometryMatrix
This example demonstrates the solution process of systems of linear equations. Key mathematical concepts include linear equations, matrices, and their operations. Using GeoGebra commands such as Invert and Determinant, the solution method is visually illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Invert(M) → MI
  2. Textfield(a11) → InputBox1
  3. Textfield(a12) → InputBox2
  4. Textfield(a21) → InputBox3
  5. Textfield(a22) → InputBox4
  6. Textfield(b1) → InputBox5
  7. Textfield(b2) → InputBox6
  8. Determinant(M) → Det
  9. SurdText(x(SolP)) → text1
  10. SurdText(y(SolP)) → text2
  11. Textfield(dummyX) → InputBox7
  12. Textfield(dummyY) → InputBox8
  13. If(solX ≟ round(dummyX, 2) ∧ solY ≟ round(dummyY, 2), 1, 0) → condition

AI Drawing Prompt Reference

Create a visual demonstration of solving systems of linear equations, showing the coefficient matrix and constant vector for two linear equations, calculate the determinant and inverse matrix, display the coordinates of the solution, annotate the exact values of the solution with text, and finally verify if the input solution matches the calculated result.
The prompt above was compiled from the original drawing commands and is for reference only.