Lesson 10 of 10Article14 min
Applications: Graphics, Networks & ML
Capstone: pick a 2×2 matrix, find eigenvalues/vectors, sketch how it transforms the unit circle, and explain the picture in one paragraph.
Where matrices show up
Capstone: pick a 2×2 matrix, find eigenvalues/vectors, sketch how it transforms the unit circle, and explain the picture in one paragraph.
- Computer graphics: rotations, projections, homogeneous coordinates.
- Graphs: adjacency matrices; powers count walks.
- Markov chains: transition matrices; stationary distributions as eigenvectors.
- ML: embeddings, attention as matrix products, weight layers as affine maps.
- Least squares / regression / PCA as covered earlier — now in one toolkit.
Pair with Statistics for data work, and Calculus for optimisation on vector spaces (gradients, Hessians).