Visualize vectors, matrix transformations, and eigenspaces in 2D and 3D with interactive geometric tools.
Open VisualizerStudy vector operations, dot products, cross products, matrix arithmetic, row reduction, and solving systems of linear equations with augmented matrices.
Visualize rotations, reflections, projections, and shears as matrix operations. Understand kernel, range, and rank through geometric examples.
Compute eigenvalues and eigenvectors, diagonalize matrices, explore orthogonality, and study abstract vector space axioms with concrete examples.
Plot and manipulate vectors in 2D and 3D space with real-time computation of dot products, cross products, and projections.
Watch how matrices transform the plane — see rotations, shears, and reflections animate smoothly.
Perform row reduction, find inverses, compute determinants, and solve systems step by step.
Visualize eigenvalues and eigenvectors as invariant directions under linear transformations.
Seeing the transformation matrix animate a rotation made abstract algebra concrete.Dr. Petersen, Linear Algebra
The eigenspace visualizer showed me what eigenvalues actually mean geometrically.Nina R., College Freshman