The course is held in the autumn, during period 2. It is recommended to complete the course at the 1th autumn semester.
Learning outcomes
The student is able to apply arithmetic operations of matrices and can solve system of linear equations by matrix methods and can apply matrix factorizations to find the solution of the system of linear equations.
The student is able to recognize the vector space and understands the concepts of basis and dimension of a vector space and can analyse matrices by the parameters, vectors and vector spaces of matrices. He/She knows how to calculate determinant, eigenvalues and eigenvectors of a square matrix, and is able to diagonalize matrices and apply diagonalization to the simple problems.
Contents
1. Vectors and matrices 2. Systems of linear equations. 3. Matrix factorizations. 4. Vector spaces. 5. The rank, nullity, row space and the column space of a matrix. 6. The determinant of a matrix. 7. Eigenvalues and eigenvectors of a matrix. 8. The diagonalization with applications.
Mode of delivery
Facetoface teaching
Learning activities and teaching methods
Lectures 28 h / Group work 22 h / Selfstudy 85 h.
Target group
1. year students of technical sciences, mathematics and physics.
Prerequisites and corequisites

Recommended optional programme components

Recommended or required reading
Recommented literature: Grossman, S.I: Elementary Linear Algebra; David C. Lay: Linear Algebra and Its Applications.
Assessment methods and criteria
The course can be completed by intermediate exams (2 exams) or by a final exam.