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🧪 Mathematics Linear Algebra Simulation

Interactive 3D solver: each linear equation in a 3x3 system is a plane. Drag the constants, switch between unique / inconsistent / dependent systems, and watch the planes meet at a point, a line, or not at all — with live rank, determinant and Gaussian-elimination readouts.

Mathematics2DModerate60 FPS📱 Mobile-adapted

Every equation in a 3×3 system of linear equations is a plane in space, and solving the system means finding where all three planes meet. This simulator renders the three planes live in 3D, tracks the determinant and rank of the coefficient matrix, runs a real Gaussian-elimination pass on the augmented matrix, and shows the resulting intersection — a single point, an infinite line, or nothing at all when the system is inconsistent. Switch between preset scenarios or randomize the system, then drag each equation's constant term to watch its plane slide along its own normal and the solution respond continuously.

⚙ Under the hood

This simulation demonstrates the fundamental concepts of linear algebra through interactive visualizations and problem-solving exercises. Users can manipulate vectors and matrices to explore transformations and solve systems of equations.

Linear AlgebraVector TransformationMatrix Operations

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install