Linear Algebra (8110.4)

Linear Algebra and its methods are very powerful mathematical tools in many areas of common knowledge including science, economics, and technology. This unit may include the following topics: theory of linear spaces including vector spaces as well their extension to the Hilbert Spaces; advanced matrix algebra as an example of non-commutative ring with an unity; the concept of a function of a matrix including the concept of diagonalization, as well as the polynomial equations and the Fundamental Theorem of Algebra, and the notion of Eigenspaces; carious applications of Linear Algebra to Geometry, Social Sciences, Pure Mathematics, Economics, and Physics.

Learning outcomes

On successful completion of this unit, students will be able to:
1. Demonstrate understanding of the Linear Algebra tools;
2. Analyse information based on the knowledge of the Linear Algebra tools; and
3. Apply Linear Algebra tools to the problem solving in various areas on the contemporary applications.

Graduate attributes

1. UC graduates are professional - use creativity, critical thinking, analysis and research skills to solve theoretical and real-world problems
3. UC graduates are lifelong learners - adapt to complexity, ambiguity and change by being flexible and keen to engage with new ideas

Prerequisites

6698 Discrete Mathematics OR 577 Mathematical Methods

Corequisites

None.

Incompatible units

None.

Equivalent units

None.

Assumed knowledge

None.