Course : M.Sc. in Quantum Computing & Technologies - Linear Algebra for Quantum Mechanics

Eigenvalues and eigenvectors. Matrix diagonalization. Special_cases of diagonalization. Jordan canonical form. Applications of Jordan form. Vector spaces and subspaces. Linear dependence and independence. Basis and dimension of a vector space. Inner products. Inner product spaces. Gram-Smidt orthonormalization. Best approximation. Orthogonal projection. Linear operators. Adjoint operators. Operators in inner product spaces. Orthonormal operators. Isomorphisms. Normal operators.