Introduction to Linear Algebra

Course code

MLM6194.DT

old course code

Course title in Estonian

Lineaaralgebra algkursus

Course title in English

Introduction to Linear Algebra

ECTS credits

6.0

Assessment form

Examination

lecturer of 2024/2025 Autumn semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

lecturer of 2024/2025 Spring semester

Not opened for teaching. Click the study programme link below to see the nominal division schedule.

Course aims

The aim of the course is to provide an overview of the concepts of matrix, linear space, system of linear equations and complex numbers.

Brief description of the course

1.Complex numbers and operations with complex numbers. Different forms of complex numbers.

2.Matrices and operations with matrices.

3.Permutations and inversions. Determinants and their properties. Minors. Laplace expansion.

4.Determinant of the product of matrices. Inverse of a matrix, it’s calculation methods and properties.

5.Linear space. Linear independence of the set of vectors. Basis of the linear space.

6.Systems of linear equations: homogeneous system of lineaar equations and nonhomogeneous system of linear equations. Gaussian elimination method.

7.Systems of linear equations: Cramer’s rule.

2.Matrices and operations with matrices.

3.Permutations and inversions. Determinants and their properties. Minors. Laplace expansion.

4.Determinant of the product of matrices. Inverse of a matrix, it’s calculation methods and properties.

5.Linear space. Linear independence of the set of vectors. Basis of the linear space.

6.Systems of linear equations: homogeneous system of lineaar equations and nonhomogeneous system of linear equations. Gaussian elimination method.

7.Systems of linear equations: Cramer’s rule.

Learning outcomes in the course

Upon completing the course the student:

- knows matrices, linear spaces, systems of linear equations and complex numbers;

- is able to solve the standard exercises about the systems of linear equations, matrices and complex numbers.

- knows matrices, linear spaces, systems of linear equations and complex numbers;

- is able to solve the standard exercises about the systems of linear equations, matrices and complex numbers.

Teacher

dots Alar Leibak