Linear Algebra

Gaussian elimination Homogeneous systems Matrices
Matrix multiplication Block multiplication Inverse matrices
Elementary matrices LU factorization Laplace expansion
Properties of the determinant Determinants and matrix inverses Adjoints and Cramer's rule
Complex numbers Eigenvalues and eigenvectors Diagonalization
Dynamical systems Vectors Lines in space
Dot product Projections Planes
Cross product Triangles and parallelepipeds Least squares approximation
Subspaces Spans Linear independence
Rank Bases Similar matrices
Eigenspaces Linear transformations Matrices of linear transformations
Polynomials in vector spaces Properties of polynomials