PMAT 11522: Matrix Algebra

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Course code  :  PMAT 11522

Title               Matrix Algebra

Pre-requisites :  A/L Combined Mathematics

 

Learning Outcomes:

On successful completion of the course, the student should be able to;

  • demonstrate knowledge in the fundamentals of matrix algebra
  • apply matrix methods to solve simultaneous equations
  • compute eigenvectors and  eigenvalues

 

Course Contents: 

Matrices: Algebra of matrices; Special types of square matrices; Transpose of a matrix, Inverse of a matrix; Elementary row and column operations, Elementary matrices and their properties, Properties of Inverse matrices

System of Linear Equations: Gaussian Elimination, Row echelon form of a matrix, Solutions of System of Equations, Applications of System of Linear Equations.

Determinant of a matrix: Expansion by co-factors, Triangular matrices, Evaluation by elementary row operations.

Eigenvalues and Eigenvectors: Eigenvalues and eigenvectors of a matrix. 

Method of Teaching and Learning: A combination of lectures and tutorial discussions.

Assessment: Based on tutorials, tests and end of course examination.

Recommended Reading: 

  1. Larson, R. and Falvo, D. (6th edition , 2009), Elementary Linear Algebra, Houghton Mifflin Harcout Publishing Company.
  2. DeFranza, J and Gagliardi, D. (1st  edition , 2008), Introduction to linear algebra, McGraw-Hill.
  3. Anton, H. and Rorers C. (11th  edition , 2014), Elementary Linear Algebra Applications, Wiley.
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