Oskar Kędzierski


Institute of Mathematics
Warsaw University
ul. Banacha 2
02-097 Warszawa
POLAND
e-mail:
phone: +48 22 5544523
room: 5230

Linear Algebra WNE 2023

List for problem sessions (scroll down for the English version)

The Final Exam will take place in Aula A (surnames starting with A-O) and Aula B (surnames starting with P-Z)
at WNE, Dluga 44/50 on 29 January 2024, 15:15-18:15.
Please bring your own paper (at least 8-9 sheets). Please come at 14:55 and bring your ID student card.

The Resit Exam will take place in Aula A at WNE, Dluga 44/50 on 24 February 2024, 13:00-16:00.


The days on which 45-minute written tests (long tests) will be conducted, together with corresponding problems:
31 October 2023 (1-21), 30 November 2023 (22-38), 21 December 2023 (39-49).


Lecture Notes (based on lecture notes by T. Koźniewski and M. Sobolewski):

1. Solving Linear Equations
2. Vector Spaces
3. Linear Independence and Bases
4. Linear Transformations
5. Operations on Linear Transformations
6. Determinants
7. Application of Determinants
8. Linear Endomorphisms
9. Diagonalizable Matrices and Applications
10. Scalar Product
11. Affine Space R^n
12. Linear Programming
13. Simplex Method
14. Quadratic Forms

Solutions of Problem 56 with Octave code


Previous Exams

Sample Final Exam
Another Sample Final Exam
Sample Final Exam Questions

Final Exam 2024 Series A
Final Exam 2024 Series B
Resit Exam 2024 Series A
Resit Exam 2024 Series B

Final Exam 2023 Series A
Final Exam 2023 Series B
Solutions of 2023 Final Exam Questions Series A
Solutions of 2023 Final Exam Questions Series B

Resit Exam 2023 Series A
Resit Exam 2023 Series B

Final Exam 2022 Series A
Final Exam 2022 Series B
Solutions of 2022 Final Exam Questions Series A
Solutions of 2022 Final Exam Questions Series B

Final Exam 2021 Series A
Final Exam 2021 Series B
Solutions of 2021 Final Exam Questions Series A
Solutions of 2021 Final Exam Questions Series B

Final Exam 2020 Series A
Final Exam 2020 Series B
Solutions of 2020 Final Exam Questions

Resit Exam 2020 Series A
Resit Exam 2020 Series B
Solutions of 2020 Resit Exam Questions

Final Exam 2019 Series A
Final Exam 2019 Series B

Resit Exam 2019 Series A
Resit Exam 2019 Series B

Final Exam 2017 Series A
Final Exam 2017 Series B

Some sample solutions of Final Exam 2017 Series A

Final Exam 2016 Series A
Final Exam 2016 Series B

Sample solutions of Final Exam 2016 Series B

Resit Exam 2016 Series A
Resit Exam 2016 Series B

Resources on Linear Algebra