Linear Algebra

Course Aim:
This course presents the fundamentals of linear algebra and its applications with emphasis on solving linear systems of equations, vector spaces and the eigenvalue problem.
Course contents:
Solving a system of linear equations – Vectors – Matrices (operations, matrix equations, matrix inverse) – Determinants – Linear Transformations (maps) – Vector spaces and subspaces – Orthogonality – Inner product spaces – Eigenvectors/values – Diagonalization – Functions of matrices – Applications.