Valid for: 2024/25
Faculty: Faculty of Engineering LTH
Decided by: PLED F/Pi
Date of Decision: 2024-04-15
Effective: 2024-05-08
Main field: Technology
Depth of study relative to the degree requirements: Second cycle, in-depth level of the course cannot be classified
Elective for: BME4, C4, D4-bg, D4-ssr, E4-ra, F4, F4-tf, F4-bs, F4-bg, F4-r, F4-mai, F4-kv, I4, Pi3
Language of instruction: The course will be given in English on demand
The main aim of the course is to convey knowledge about concepts and methods from matrix theory and linear algebra which are important in applications within many subjects in technology, science and economy, and familiarity with their use. In addition, the course should develop the student's ability in general to assimilate and communicate mathematical theory and to solve problems. Furthermore, the course should strengthen the student's ability in mathematical programming.
Knowledge and understanding
For a passing grade the student must
Competences and skills
For a passing grade the student must
Judgement and approach
For a passing grade the student must
Matrices and determinants. Linear spaces. Spectral theory.The Jordan normal form. Matrix factorizations. Matrix polynomials and matrix functions. Norms. Scalar products. Singular values. Normal matrices. Quadratic and Hermitian forms. The Least Squares method and pseudo inverses. Non-negative matrices. Some important inequalities.
Grading scale: TH - (U, 3, 4, 5) - (Fail, Three, Four, Five)
Assessment: Take-home exam followed by an oral exam. Two minor computer projects should be completed before the exam.
The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.
Modules
Code: 0121. Name: Matrix Theory.
Credits: 7.5. Grading scale: TH - (U, 3, 4, 5).
Admission requirements:
Course coordinator: Studierektor Anders Holst,
Studierektor@math.lth.se
Teacher: Carl Olsson,
Carl.Olsson@math.lth.se
Course homepage: https://canvas.education.lu.se/courses/20383