In[1]:=computational laboratory

The matrix, made visible.

A scientific workbench for linear algebra. Compute decompositions, solve systems, and see what each transformation actually does to space.

live · A(t) · unit cube morph

Modules

10 surfaces

All standard operations: inverse, transpose, multiply, LU/QR/Cholesky, eigendecomposition, pseudoinverse, Kronecker.

Watch a matrix bend the plane. Drag basis vectors and scrub the animation.

Interactive Three.js scene. Unit cube → transformed cube under any 3×3 matrix.

Solve Ax = b. Visualize intersections of lines (2D) and planes (3D).

Step-by-step Gaussian elimination with full RREF animation.

See the determinant as area / volume scaling — including orientation flip.

Find directions a matrix only stretches. Watch Av = λv geometrically.

Null space, column space, row space — with basis vectors and dimensions.

A = UΣVᵀ. Animate the rotate–scale–rotate of the unit sphere.

Visualize sparsity and structural connectivity as a node-edge graph.

Engine

math.js · custom RREF · power-iteration SVD

Visualization

Three.js · React Three Fiber · Canvas 2D

Runtime

100% client-side · no server roundtrips