الجبرالخطي

Module Description:        

Matrices and their operations, Types of matrices, Elementary transformations, Linear systems of equations.(homogeneous and non-homogeneous), Solving Linear systems by Kramer,s Rule and Gaus Jordan, Determinants, elementary properties, Inverse of a matrix, Vector spaces, linear independence, finite dimensional spaces, linear subspaces, Inner product spaces, Linear transformations, kernel and image of a linear transformation, Eigen values and Eigen vectors of a matrix and of a linear operator.

Module Aims:

·         Know the basic operations on matrices.

·         Be able to solve systems of homogeneous and non-homogenous  linear equations.

·         Be able to solve find the inverse of   matrix.

·         Understanding the concepts of vectors, and vector space.

Learning Outcomes:                       

·         Understand the basic concepts of linear algebra, such as matrices and its operations, determinate.

·         Identification of linear systems and ways of solving them.

·         Understanding the concept of vector space and its related topics such as  linear independence, finite dimensional spaces.

·         Identify the basis and Dimension and the rank of the matrix, inner product and linear transformation.

·         To be able to do matrix operations and compute the deter

·         The ability to find the invers of the matrix.

·         To identify the linear combination  , linear dependent and linear independence

·         The development of the student's ability to use these concepts.

·         The development of the student's ability to apply the above principles in practical applications.

Textbook:                                                                  

Elementary Linear Algebra with applications, Howard Anton, Wiley & Sons.Edition: 9th Edition