Linear Algebra 3

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Course Code: 
PGP 1202
Course Credit Units: 
Semester 1
Year of Study: 
Year 2
Undergraduate or Graduate Level: 
Undergraduate Level
Course Discipline: 
Course Description & Objectives: 

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 leading to the rank-nullity theorem. The course also introduces students to eigenspaces and diagonalisation. 

Learning Outcomes: 

By the end of the course, students should be able to:

  • demonstrate basic competence in the concepts, principles, procedures and
  • apply vector space methods.
  • define and work with vector spaces.
  • solve linear systems and work with matrices.
  • demonstrate knowledge of linear transformations and their properties.
Linear Algebra 3
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