Course Code:

1102:

Course Credit Units:

3

Semester:

Semester 1

Year of Study:

Year 1

Undergraduate or Graduate Level:

Undergraduate Level

College:

School:

Course Description & Objectives:

leading to the rank-nullity theorem. The course also introduces students to eigenspaces and diagonalisation The course introduces students to vectors, vector spaces, linear transformations and systems of linear equations. Using systems of linear equations, the course explores mathematical properties of a vector space such as linear independence, bases and dimension. Linear transformations are studied as relationships between vector spaces.

Learning Outcomes:

- define vector spaces
- solve linear systems
- compute eigenvalues, eigenvectors of matrices and diagonalize matrices
- state and prove the rank-nullity theorem