TNIU75 · 6 credits · Basic level (G1N) · Matematik, Tillämpad matematik
Linear Algebra
Active · next start VT 2027
49%
passed the latest ordinary exam
TEN1 · 3 Jun 2026 · 73 students
61%
passed the ordinary exams, all sittings over the last 5 years
TEN1 · 522 students
72%
Harder than 72% of courses at basic level
Compared with 874 courses at the same level, ordinary exams over the last three academic years. 227 students.
Part of 3 programmes
Exam
TEN1 Written examination
- 5
- 4
- 3
- U
Ordinary exams
61% passed · 522 students
- 49%73
- 70%79
- 75%75
- 66%89
- 56%106
- 54%100
Re-exams
41% passed · 186 students
- 37%19
- 38%13
- 40%10
- 56%16
- 40%5
- 25%24
- 29%17
- 52%31
- 55%11
- 40%40
- Pass the re-exam: 41% (186 students), compared with 61% (522 students) on the ordinary exam
- Get 4 or 5: 26% (708 students)
Other modules
Partial exams, hand-ins and labs. They are not part of the figures at the top.
Other module
KTR1 Optional written test
- G
- U
Main rounds
78% passed · 319 students
- 73%52
- 84%58
- 86%59
- 63%67
- 83%83
Later rounds
No sittings with at least 5 students.
About the course
Aim
After completing this course students should be able to:
- solve systems of linear equations and be able to interpret these solutions geometrically,
- handle basic geometric objects in two and three dimensions (like points, vectors, lines, planes) and be able to investigate essential relations between these objects,
- understand the notion of a matrix and master the matrix calculus in order to perform simple matrix operations (like transposition or multiplication of matrices),
- understand and apply the notion of basis in space and perform the change of basis,
- give an account for and perform calculations with the help of basic ideas and methods of theory of linear operators including inverse operators, eigenvalues and eigenvectors, diagonalization of operators (spectral theorem) and dimension theorem as well as relate these to the methods and notions from p. 2, 3, and 4.
Content
Systems of linear equations. Vectors. Matrices. Determinants. Bases. Change of Bases. The scalar product. The cross product. Lines and planes in space. Linear transformations and their compositions. Eigenvalues and eigenvectors of a linear transformation. Diagonalization. Spectral theorem. Kernel and image of a linear operator. Dimension theorem.
- Examiner
- Krzysztof Marciniak
- Scheduled hours
- 52 h
- Main field of study
- Matematik, Tillämpad matematik