2x2 Matrix Transform Lab

This lab shows how a matrix moves points, segments, and shapes on the coordinate plane. Matrix edits apply instantly, and original points can be dragged on the graph.

Open 3x3 Lab Derivative Dictionary Combinatorics Core 2D Transforms Chapter

Object

Matrix Membrane (Click to Apply)

Each click composes onto current matrix: M ← A·M.

Basic Transformation

k or angle (°)

Presets are live. Changing preset or k/angle updates immediately.

Live Matrix A

Tip: number steppers and typed values both update the transformation instantly.

Current Matrix M (Live)

Vertices (Original Object)

Live Updates

Waiting for interaction...

Original Object

Transformed Object

Basis Vectors