# Applied Linear Algebra

## Code

IT-ALI1

## Version

1.3

## Offered by

ICT Engineering

## ECTS

5### Prerequisites

Upper level mathematics equivalent to A-levels

### Main purpose

### Knowledge

- What a vector space is, and
- How a linear representation of such spaces can be analyzed using matrix operations
- Application of linear algebra in engineering

### Skills

- Apply techniques and results from linear algebra to solve problems in linear systems, matrices, vector space, orthogonality, eigen vectors, and eigenvalue
- Apply theory to analyze basic theoretic tasks within the below mentioned topics
- Express mathematically correct arguments
- Use mathematical terminology and symbol language

### Competences

- Applying linear algebra to the study of various phenomena in engineering science
- Using matrices to solve concrete problems
- Using vector operations to solve concrete problems
- Applying methods and results from linear algebra in the solution of engineering problems

### Topics

- Systems of linear equations and their solutions
- Matrix algebra
- Determinants
- Vector spaces
- The eigenvalue problems
- Orthogonality
- Singular value decomposition

### Teaching methods and study activities

### Resources

Matlab

### Evaluation

Grading will be done according to the 7-scale, using an internal examiner.

In order to qualify for the exam, the students must have the compulsory activity approved.

### Examination

The final exam is a 3 hour written exam and takes place at Campus Horsens. All supplementary materials and aids are allowed, e.g. using a computer as a reference work. Communication of any sort is not allowed during the exam and will lead to expulsion of all involved parties from the exam. Internet access is not allowed.

The exam must be completed in the Jupyter Notebook environment and the answer must be submitted as a .pdf-file.

The re-exam may be held as an oral examination.

### Grading criteria

Grading is according to the 7-point grading scale.

Mark 12:

Awarded to students who have shown excellent comprehension of the above-mentioned knowledge, skills, and competences. A few minor errors and shortfalls are acceptable.

Mark 02:

Awarded to students for the just acceptable level of comprehension of the required knowledge, skills, and competences.

### Additional information

### Responsible

Richard Brooks

### Valid from

2/1/2020 12:00:00 AM

### Course type

6. semester

7. semester

Electives

### Keywords

Linear algebra, matrices, vectors