# Before choosing course

### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## Content and learning outcomes

### Course contents

Basic ideas and concepts in linear algebra: vectors, matrices, systems of linear equations, Gaussian elimination, matrix factorization, vector geometry with scalar product and vector product, determinants, vector spaces, linear independence, bases, change of basis, linear mappings, eigenvalue, eigenvector, the least squares methods, orthogonality, Gram-Schmidt's method.

Computational aspects: numerical solution of systems of linear equations with Gaussian elimination and LU factorization, complexity, determine complexity by numerical experiments, condition number and numerical computation of condition numbers, assessment of accuracy.

### Intended learning outcomes

After the course the student should be able to

• use concepts. theorems and methods to solve and present solutions to problems within the parts of linear algebra described by the course content,
• use Matlab to solve problems within the parts of linear algebra and numerical analysis described by the course content,
• read and comprehend mathematical text.

in order to

• develop a good understanding for basic mathematical concepts within linear algebra and to use these for mathematical modeling of engineering and scientific problems,
• develop a skill, with the help of computers, to illustrate key concepts and solve applied problems with Matlab as well as to visualize and present the results in a clear way.

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Basic requirements.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

No information inserted

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• LAB1 - Laboratory work, 2,0 hp, betygsskala: P, F
• PRO1 - Project work, 1,0 hp, betygsskala: P, F
• TEN1 - Exam, 7,5 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF1694

SCI/Mathematics

Technology

First cycle