Scalars, vectors, matrices, tensors

Vector spaces

Vector operations (addition, scalar multiplication, dot product, cross product)

Matrix operations (addition, multiplication, transpose)

Identity matrix & inverse matrix

Determinants

Systems of linear equations (Gaussian elimination)

Eigenvalues & Eigenvectors

Singular Value Decomposition (SVD)

Principal Component Analysis (PCA)

Norms (L1, L2, Frobenius)

Cosine similarity

Orthogonality & projections

Span, basis, rank, nullity

Change of basis