LINEAR ALGEBRA

Learning outcomes:

This is an essential introductory subject that offers the preliminary knowledge of mathematics for economics science students. The aim is to introduce and familiarize students with the basic aspects of linear algebra. On successful completion of this module the learner will be able to:

Handle matrices (addition, multiplication, inversion, factorization).
Solve linear systems, and linear systems of special forms (symmetric, positive definite, diagonal, banded)
Compute eigenvalues and eigenvectors of a given matrix
Solve all the above problems using MATLAB.

Features

Code : X11
Semester : 1st
Effort : 7.5 ECTS
Hours : 4 per week
Type : Mathematics
Department : Mathematics
Instructor : ZACHAROULA KALOGIRATOU
Exams : Yes

FULL course outline

Course Contents:

Matrices, special matrices, matrix operations.
Systems of linear equations, Gaussian elimination, LU factorization, Inverse matrix.
Vector spaces and subspaces, Linear combination, dependence, basis, and dimension.
The Nullspace of A, the complete solution of Ax=b.
Determinants, properties, and applications.
Linear transformations.
Eigenvalues and eigenvectors, matrix diagonalization.
Ιntroduction to MATLAB and applications to all above topics.