ECMZ203 Linear Algebra

Information

Course Goal / Objective

This module aims to provide an accessible review of the linear algebra from the text book to long after the class. Linear algebra is an essential part of the mathematical background required of econometricians. It presents a source for undergraduate students. In general it covers an introduction to linear algebra which will be found helpful to all readers.

Course Content

Students will be able to define matrices, matrix algebra, special types of matrices, elementary row and colon operations, echelon form, rank of a matrix, elementary matrices, inverses, equivalent matrices, determinants, properties of determinants, cofactor and adjoint of a matrix, derivation of inverse matrix, systems of linear equations, solutions of systems of linear equations, Cramer´s method, Gauss’s elimination method, vector spaces, subspaces, linear independence, bases and dimension, coordinates, change of basis, inner product spaces, standard inner product, orthogonal subspaces, orthogonal complement of a subspace, inner product, inner product spaces, orthogonal basis, orthogonal matrices, Gram-Schmidt orthogonalization methods, linear transformations, matrix representations of linear transformations, eigen values, eigen vectors, diagonalization, Cayley-Hamilton’s Theorem, quadratic forms, Hermitian forms, numerical applications.

Course Precondition

Resources

Notes

Course Learning Outcomes

Relation with Program Learning Outcome

Week Plan

Assessment (Exam) Methods and Criteria

Student Workload - ECTS