# Linear Algebra

• Computing & Information Technology |
• English

#### Description

This course illustrates the nature of mathematics as a blend of technique, theory, and applications. The important problem of solving systems of linear equations leads to the algebra of matrices, determinants, vector spaces, bases and dimension, linear transformations, and Eigen values. Vector spaces are studied in an abstract setting, examining the concepts of linear independence, span, bases, subspaces, and dimension. There follows a discussion of the association between linear transformations and matrices.

#### Program

Computer Science Program.

#### Objectives

• 1. Learn important concepts of linear algebra.
2. Be familiar with the ideas of matrices and their applications in solving problems involving systems of linear equations.

#### Textbook

David C. Lay, Steven R. Lay, Judi J. McDonald, Linear Algebra and Its Applications, 5th Edition. Pearson, 2016.

#### Course Content

content serial Description
1Matrices : Definition - Addition – Scalar multiplication – Matrices with special properties
2Matrix multiplication – Matrix transpose – Determinants
3Matrix inverse
4Systems Of Linear Equations: Linear equations - Reduced Row Echelon Form and Row Operations – Matrix Rank
5Rank and systems of linear equations - The Homogeneous Case
6systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness
77th Week Examination
8Vector Spaces: Vector Algebra [ definition-addition – multiplication by scalar – dot product – cross product ]
9Definitions of vector space and Basic Concepts – Subspaces
10Linear Combinations – Span – linear independent
11Bases and Dimension - Inner product -The Gram-Schmidt Process
1212th week Examination
13Linear Transformations: Mappings -General Properties of Linear Transformations
14Eigenvalues And Eigenvectors
15Diagonalization
16Final Examination
1Matrices : Definition - Addition – Scalar multiplication – Matrices with special properties
2Matrix multiplication – Matrix transpose – Determinants
3Matrix inverse
4Systems Of Linear Equations: Linear equations - Reduced Row Echelon Form and Row Operations – Matrix Rank
5Rank and systems of linear equations - The Homogeneous Case
6systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness
77th Week Examination
8Vector Spaces: Vector Algebra [ definition-addition – multiplication by scalar – dot product – cross product ]
9Definitions of vector space and Basic Concepts – Subspaces
10Linear Combinations – Span – linear independent
11Bases and Dimension - Inner product -The Gram-Schmidt Process
1212th week Examination
13Linear Transformations: Mappings -General Properties of Linear Transformations
14Eigenvalues And Eigenvectors
15Diagonalization
16Final Examination

#### Markets and Career

• Generation, transmission, distribution and utilization of electrical power for public and private sectors to secure both continuous and emergency demands.
• Electrical power feeding for civil and military marine and aviation utilities.
• Electrical works in construction engineering.