**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****:**** **

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