🎓 Deeper Dive — Adults

Linear algebra studies vector spaces and linear maps between them.

Linear combination: Σ cᵢvᵢ. Linear independence: no vector is a combination of others. Basis: minimal independent spanning set. Dimension: number of basis vectors.

Eigenvalues/eigenvectors: Av = λv — directions a transformation only stretches (no rotation). PageRank, PCA, quantum mechanics all use eigendecompositions.

Modern deep learning ≈ stacking linear maps + nonlinear activations.