14 interactive notebooks ready to launch.
Visualize vectors geometrically and as data structures.
Explore dot products and their connection to similarity and projection.
Use the cross product to understand orientation and planes in 3D.
Represent linear transformations with matrices and move points through space.
Connect matrix multiplication to composing linear maps.
Visualize the determinant as volume scaling and orientation change.
Use inverse matrices to solve linear systems and understand solvability.
Solve systems with Gaussian elimination and row reduction.
Analyze least squares solutions for systems with no exact answer.
Compute eigenpairs and understand their geometric meaning.
Explore PageRank as an eigenvector problem on graphs.
Use eigen decomposition to understand Markov chain behavior.
Use PCA to reduce dimensions and visualize high-dimensional data.
Compress images using singular value decomposition.