See the geometry behind matrices and vectors
Journey through 28 interactive demonstrations exploring vectors, transformations, determinants, and eigenvectors with stunning 2D and 3D visualizations.
See also: Machine Learning for eigenvectors and SVD applied to data, Differential Equations for matrix exponentials solving linear ODEs, and Representation Theory for groups acting on vector spaces.
Discover vectors as arrows, not just lists of numbers. Explore addition, scaling, and what it means to span a space.
Watch the entire coordinate grid warp and stretch. See how matrices transform all of space at once.
Matrix multiplication means doing transformations one after another. Inverses undo what a matrix does.
Determinants measure how space stretches or compresses. See area and volume scaling come alive.
Find the special directions that only stretch, never rotate. The key to understanding any linear transformation.
Same vector, different coordinates. Learn why choosing the right basis makes everything simpler.
Free exploration with 2D and 3D sandboxes. Test your understanding with comprehensive quiz questions.
Inspired by 3Blue1Brown's "Essence of Linear Algebra" series.