Linear Algebra

The language of data, weights, and transformations. Every forward pass, every embedding, every optimization step is linear algebra under the hood.

vectors dot product matrices eigenvalues SVD PCA norms rank orthogonality
Topic overview
Treat vectors, dot products, matrices, eigenvectors, SVD, and PCA as the shared language behind features, embeddings, transformations, and compression.
Core concepts
Focus on vector shape, norms, projections, matrix multiplication, basis changes, rank, eigen decomposition, singular values, and geometric intuition.
Why it matters
Most ML systems are matrix operations at scale: model layers, embeddings, similarity search, PCA, and attention all depend on linear algebra.
Interview relevance
Know how to explain dimensions, similarity, projections, PCA, and why matrix operations make model computation efficient.