Course title in Estonian
Course title in English
Introduction to Linear Algebra
approximate amount of contact lessons
lecturer of 2020/2021 Autumn semester
õppejõud on määramata
lecturer of 2020/2021 Spring semester
lecturer not assigned
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.
Learning outcomes in the course
After passing this 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.
Homework and class-tests. The exam contains two theoretical questions and one practical one.
Kangro, G. Kõrgem algebra. Tallinn: 1962;
Kilp, M. 2005 Algebra I. Tartu: TÜ.
Lõhmus, A.; Petersen, I.; Roos, H. 1982 Kõrgema matemaatika ülesannete kogu;
Paal, E. 2000 Lineaaralgebra elemente. TTÜ, Tallinn.