Systems of linear equations arise naturally when scientists and engineers study the flow of some quantity through a network. In this training, fundamental ideas of matrix algebra will be discussed. We describe the Gaussian elimination algorithm used to solve systems of linear equations and the corresponding LU decomposition of a matrix. Finally, we develop the theory of determinants and use it to solve the eigenvalue problem.

Training topics to be covered include:

• Systems of linear equations

• Matrix algebra

• Determinants

• Eigenvalues and eigenvectors and

• Diagonalization

### Outcomes

Upon the completion of this training, participants will be able to:

• Apply the matrix calculus in solving a system of linear algebraic equations

• Translate word problems to into linear equations

• Compute the determinant of a square matrix

• Find the eigenvalues and eigenvectors of a square matrix and

• Perform diagonalization of matrices

### Methodology

During the training, the instructor presents topics and activities in a logical sequence allowing participants to demonstrate their experience, knowledge and skills. The training sessions will be participatory as the participants will be requested to work in groups on specific topics and as they will present these to the class. Generally, the training delivery activities include lectures, question and answer, class exercises and group discussions.

### Target Audience

The target group for this training consists of engineers and computer science experts.Trainees’ are expected to have a certain level of mathematical maturity. Nevertheless, anyone who wants to learn the basics of matrix algebra is welcome to join.

### Features

Location: Addis Ababa, EthiopiaLanguage: EnglishStart Date:12 August 2019Duration:2 daysSkill Level:BeginnersClass Size:15-30Certificate: YesFee:Includes Value Added Tax (VAT), refreshments and cost of printed training materials.

#### Applications of Matrix Algebra

**BR = Ethiopian Birr**

**Registration Deadline: 5 August 2019**