Further Linear Algebra

Bachelor 2025/2026

Category 'Best Course for Career Development'

Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'

Category 'Best Course for New Knowledge and Skills'

Area of studies: Economics

When: 3 year, 1, 2 module

Mode of studies: offline

Open to: students of one campus

Instructors: Kirill Bukin

Language: English

ECTS credits: 4

This course is a continuation of Mathematical Methods for Economists which is taught for the second-year students. It lasts for one (fall) semester.

Enable students to acquire further skills in the techniques of linear algebra,
Prepare students for further courses in mathematics and related subjects like econometrics and actuarial science.

find appropriate basis made of ordinary and generalized eigenvectors
Apply classification of matrices and their properties, define spectral decomposition
Apply concepts such as Gram-Schmidt process, orthogonality of vectors, orthonormal basis
Apply techniques of diagonalization of symmetric matrices to classification of conic sections, quadratic forms classification
Handle left, right inverses, then weak and strong generalized inverses
Use theory of operator projections, primarily orthogonal

Home assignment 1
mock at the end of module 1
Final exam
In order to get a passing grade for the course, the student must sit (all parts) of the examination.
Home assignment 2

2025/2026 2nd module
0.25 * mock at the end of module 1 + 0.55 * Final exam + 0.1 * Home assignment 1 + 0.1 * Home assignment 2

Anton, H. (2014). Elementary Linear Algebra : Applications Version (Vol. 11th edition). Hoboken, NJ: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1639248