Linear Algebra Learning Lab

[M] Transformation Matrix

Valid 3×3 matrix · live properties shown below

Preset Transformations

[T] Interpolation

Transform Factor: 0.00

Interpolate between identity matrix and your transformation

[V] Vectors

Show Standard Basis (e₁, e₂, e₃)

Show Transformed Vectors

Show Eigenvectors (2D only)

Show Unit Cube

[=] Properties

det(A) 1.000

tr(A) 3.000

rank / nullity 3 / 0

condition κ₂ 1.000

singular values σ₁ ≥ σ₂ ≥ σ₃ 1.000 · 1.000 · 1.000

Classification

Identity

Transformation Visualizer

X-axis (e₁)

Y-axis (e₂)

Z-axis (e₃)

Transformed

Eigenvectors

Current Matrix

Interpolated Matrix (t = 0.00)

Transformed Basis Vectors

T(e₁) = [1.00, 0.00, 0.00]

T(e₂) = [0.00, 1.00, 0.00]

T(e₃) = [0.00, 0.00, 1.00]

Matrix Operations

[∑] Decomposition

Select a decomposition type and click Decompose to see the step-by-step breakdown

Learn ↔ edit ↔ see

Executable Linear Algebra

Open a concept, then load an example directly into the visualizer. Every definition is attached to something you can run.