Solving 3×3 Linear Equations Using Determinants

Solving 3×3 Linear Equations Using Determinants
Loading the math board and drawing, please wait…
2015-12-09 16:23
This GeoGebra example demonstrates how to solve a system of three linear equations with three unknowns using the determinant (Cramer's rule) method. The construction employs the Determinant command along with coefficient and constant variables (a, b, c, d, e, f, g, h, i) and solution objects (ans_1, ans_2, ans_3) to compute and display each variable's value step-by-step. Core mathematical concepts include linear algebra, determinants, Cramer's rule, and matrix representation of equation systems. The interactive construction helps learners visualize how determinants relate to solving simultaneous equations, making it suitable for high school advanced algebra, college-level linear algebra, or mathematics education courses focusing on equation-solving techniques and matrix theory.

GeoGebra Commands & Parameters

  1. Determinant(q) → i_1
  2. Determinant(r) → j
  3. Determinant(s) → k
  4. Determinant(w) → w_1