APPLIED LINEAR ALGEBRA (4 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Solve systems of linear equation by using Gaussian elimination and other methods; Apply the basic of algebra matrix operations and its application; Calculate the determinant and the inverse of a matrix and its application; Describe the row space, column space, null space and inner spaceof a matrix, and be familiar with the concepts of dimension of a subspace and the rank and nullity of a matrix; Identify a linear transformation and its matrix; Compute the eigenvalues and eigenvectors of a square matrix.

Topics:

1. System of Linear Equation;
2. Matrix;
3. Application of Linear System;
4. Determinant and Inverse of a Matrix;
5. Vector, Lines and Spaces in 2,3-Spaces;
6. General Vector Spaces;
7. Inner Product Spaces;
8. Linear Transformation;
9. Eigenvalues and Eigenvectors.