Vectors in r' and c' -- Linear equations -- Matrices -- Vector spaces and subspaces -- Basis and dimension -- Linear mappings -- Matrices and linear operators -- Determinants -- Elgenvalues and eigenvectors -- Canonical forms -- Linear functionals and the dual space -- Bilinear, quadratic and hermitlan forms -- Inner product spaces -- Sets and relations -- Algebraic structures -- Polynomials over a field

1. Algebra
2. Algebras
3. Linear