Decomposition of matrices (SVD), Dual space, bilinear forms, quadratic forms, Sylvester’s Theorem. Minimal polynomial, invariant subspaces, primary decomposition theory, diagonalization, simultaneous diagonalization, triangulation of an endomorphism. Cyclic subspaces, Theorem on elementary divisors, Jordancanonical form. Orthogonal and symmetric endomorphism (in ℝ). Hermitian, unitary and normal endomorphisms (in ℂ).