Embedded Files
Tutorials Schedule: Wednesdays, 15.40 @ IMPAKT, Room N3.
Postal Owl (for submitting homework, tracking test scores, etc). Enrollment token: 8f2eff16ff92.
Getting the credit for tutorials:
There will be four tests (50 points + 50 points + 50 points + 90 points), totaling 240 points. To pass the tutorials, you need at least 120 points.
The homework will not be compulsory. However, it will be good practice to do it.
There will be an opportunity for an extra test for those who score at least 100 points after the four tests.
Cheating during tests will result in you not receiving the credit.
Test Dates (Tentative):
Test 1 (29th October): Gaussian elimination, computing rank.
Test 2 (26th November): Matrix operations, groups and permutations.
Test 3 (17.12.2025): Fields, vector spaces/sub-spaces, linear combination and independence.
Test 4 (7.01.2026): ?
Additional Test: ?
If you have any questions, please contact sashasami@iuuk.mff.cuni.cz.
Tutorial_01.pdfTutorial 1: 1/10/20205.
Introduction.
Basics of equation of a line, plane; vectors etc.
Tutorial_02.pdfTutorial 2: 8/10/20205.
Elementary row operations.
Row Echelon form.
Tutorial_03.pdfTutorial 3: 15/10/20205.
Gaussian elimination, Reduced REF.
Tutorial_04.pdfTutorial 4: 22/10/20205.
Rank of a matrix (just the definition in terms of pivots).
Relationship b/w solns of non-homogeneous and homogeneous systems.
Tutorial_05.pdfTutorial 5: 29/10/20205.
Test 1.
Matrix Inverse.
Tutorial_06.pdfTutorial 6: 05/11/20205.
More on matrix operations (Exercises).
Groups.
Permutations (covered only definition).
Tutorial_07.pdfTutorial 7: 19/11/20205.
Groups and permutations continued.
Fields (to be covered in the next tutorial).
Tutorial_08.pdfTutorial 8: 26/11/20205.
Test 2.
Fields (there in the previous PDF).
Vector spaces, linear combination of vectors (to be covered in the next tutorial).
Tutorial 9: 03/12/20205
Vector spaces/sub-spaces, linear combination definition (there in the previous PDF).
Tutorial_10.pdfTutorial 10: 10/12/2025
Linear independence (in previous PDF).
Generating set (definition).
Tutorial 11 (Tentative): 17/12/2025
Test 3.
Dimension of a vector space; rank revisited (from previous PDF).
Vector spaces related to matrices (from previous PDF).
Tutorial 12 (Tentative): 07/01/2026
Test 4.
Page updated
Google Sites
Report abuse