Linear Algebra 1

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Course Code: 
MTH 1102
Course Credit Units: 
3
Semester: 
Semester 1
Year of Study: 
Year 1
Undergraduate or Graduate Level: 
Undergraduate Level
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 eigen spaces and diagonalisation.

Learning Outcomes: 

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

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

  

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