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

Intelligent Systems

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, Pearson

Course Content

content serial	Description
1	Matrices : Definition - Addition – Scalar multiplication – Matrices with special properties
2	Matrix multiplication – Matrix transpose – Determinants
3	Matrix inverse
4	Systems Of Linear Equations: Linear equations - Reduced Row Echelon Form and Row Operations – Matrix Rank
5	Rank and systems of linear equations - The Homogeneous Case
6	systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness
7	7th week Examination
8	Vector Spaces: Vector Algebra [ definition-addition – multiplication by scalar – dot product – cross product ]
9	Definitions of vector space and Basic Concepts – Subspaces
10	Linear Combinations – Span – linear independent
11	Bases and Dimension - Inner product -The Gram-Schmidt Process
12	12th week Examination
13	Linear Transformations: Mappings -General Properties of Linear Transformations
14	Eigenvalues And Eigenvectors
15	Diagonalization
16	Final Examination
1	Matrices : Definition - Addition – Scalar multiplication – Matrices with special properties
2	Matrix multiplication – Matrix transpose – Determinants
3	Matrix inverse
4	Systems Of Linear Equations: Linear equations - Reduced Row Echelon Form and Row Operations – Matrix Rank
5	Rank and systems of linear equations - The Homogeneous Case
6	systems of linear equations the Non-Homogeneous Case - Criteria for Consistency and Uniqueness
7	7th week Examination
8	Vector Spaces: Vector Algebra [ definition-addition – multiplication by scalar – dot product – cross product ]
9	Definitions of vector space and Basic Concepts – Subspaces
10	Linear Combinations – Span – linear independent
11	Bases and Dimension - Inner product -The Gram-Schmidt Process
12	12th week Examination
13	Linear Transformations: Mappings -General Properties of Linear Transformations
14	Eigenvalues And Eigenvectors
15	Diagonalization
16	Final 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.

Degree Bachelor
Code: BA304
Credit hrs: 3
Prequisites: BA102

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Linear Algebra