# Unit information: Matrix Algebra and Linear Models in 2021/22

Unit name Matrix Algebra and Linear Models MATH10016 20 C/4 Teaching Block 4 (weeks 1-24) Dr. Jaggi Not open None Probability and Statistics 1 School of Mathematics Faculty of Science

## Description including Unit Aims

Lecturers: Sidharth Jaggi and Andrew Booker

The aims of this unit are to:

• Provide students with hands on, yet rigorous, understanding to the properties, use and manipulation of matrices
• Provide the students with an intuitive geometrical, yet deep, understanding of linear algebra.
• Allow students to link matrix theory to multivariate statistical linear modelling
• Allow students to identify and formulate practical problems as linear models and solve them numerically on a computer
• Provide students with knowledge of numerical and complexity issues, allowing them to make informed choices
• Allow students to interpret results statistically and draw conclusions when applied to real datasets.

## Intended Learning Outcomes

At the end of the unit, the students should be able:

• To work fluently with matrix algebra (products, inverses, solving linear systems, eigenvalues and eigenvectors)
• To choose an adequate method based on numerical or complexity issues
• To solve linear equations both on paper and numerically using R/C++
• To identify and formulate practical problems as linear models
• To work with the multivariate normal distribution
• To apply statistical procedure to check modelling assumptions
• To interpret results.

## Teaching Information

Lectures, computer labs and homeworks.

## Assessment Information

2 x 40% Examinations (in the exam period at the end of each teaching block) and 20% Coursework / Computer Practicals

## Resources

If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATH10016).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.