Solving a 3×3 Linear System with Matrices (Gaussian Elimination Visualizer)

December 10, 2025

Problem

Solve the system using matrices: 2x + y - z = 3, x - y + 2z = 1, 3x + 2y + z = 4

Explanation

This visualization shows how the augmented matrix of the system 2x + y − z = 3, x − y + 2z = 1, 3x + 2y + z = 4 is transformed by row operations into reduced row-echelon form, revealing the unique solution. Follow the animated steps of Gaussian elimination and see the solution (x, y, z) appear as the matrix simplifies.

Interactive Visualization

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Solving a 3×3 Linear System with Matrices (Gaussian Elimination Visualizer) | MathSpin