BE104/EB104 – Linear Algebra

Course lecturer :

Dr shimaa yehia

Course assistant :

Eng. Rosemarie Anton(rosemarie.nassif@pua.edu.eg)
Ahmed saed
Abdelrahman

Course objectives :

This is a basic subject on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues and eigenvectors, similarity, and positive definite matrices, Linear Transformations, and Matrix Decomposition.

Course description :

After passing the course the students should be able to:
• Solve systems of linear equations by Gauss elimination method
• Know how to convert a matrix into the Echelon form and Gauss-Jordan form
• Familiar with the theory of matrices
• Understand the basic concepts of vector spaces
• Deal with determinants: Properties and related applications
• Familiar with algebraic statements about vectors operations, e.g., vector addition, inner product, vector norm, orthogonal vectors, linear independence, spanning sets, subspaces, bases, and dimension for subspaces of Rn
• Use Gram-Schmidt orthogonalization process to obtain orthonormal vectors
• Obtain eigenvalues and eigenvectors of square matrices and study related applications
• Perform diagonalization of square matrices

Course assessment :

Mid-Term Exam: 15% Quizzes: 10% Lab work: 15% HW and Assignments: 10% Final Exam: 50%

Recommended text books :

Elementary Linear Algebra by Ron Larson (Seventh Edition)

Recommended refrences :

Elementary Linear Algebra by ron Larson