2D/3D simulation

Matrix Transformation Visualizer

Matrices · linear transformations · basis vectors · determinant

Learning outcomeVisualize how a 2×2 matrix rotates, scales, shears, and reflects the plane.

Interactive 3D model

Matrix a1.00Matrix b0.50Matrix c0.00Matrix d1.00Vector x1.00Vector y1.00

Transformed vector(1.50, 1.00)

Determinant1.00

OrientationPreserved

Learning focus

Transform the plane and a vector while tracking determinant, area scale, and orientation.

[x′ y′]ᵀ = A[x y]ᵀ · det(A)=ad−bc