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GC University, Lahore Linear Algebra

This document outlines a linear algebra course offered at GC University in Lahore, Pakistan. The 3 credit course is taught by instructor Asma Mushtaq and introduces matrix theory and its applications in engineering problems. Students will learn to use the MATLAB software package. The course will cover topics such as linear systems, matrix algebra, linear transformations, determinants, eigenvalues, eigenvectors, and their applications. Students will be evaluated based on quizzes, attendance, and a final exam.

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RameezAmer
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108 views3 pages

GC University, Lahore Linear Algebra

This document outlines a linear algebra course offered at GC University in Lahore, Pakistan. The 3 credit course is taught by instructor Asma Mushtaq and introduces matrix theory and its applications in engineering problems. Students will learn to use the MATLAB software package. The course will cover topics such as linear systems, matrix algebra, linear transformations, determinants, eigenvalues, eigenvectors, and their applications. Students will be evaluated based on quizzes, attendance, and a final exam.

Uploaded by

RameezAmer
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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GC University, Lahore

Linear Algebra
PROGRAM: BSc-Electrical Engineering
Instructor
Asma Mushtaq
Course
Description

Contact

Credits: 3
asmamushtaq@gcu.edu.pk

Introduce the matrix theory and the use of matrices in the solution of engineering
problems.

To be able to use MATLAB software package where needed.


Textbooks

Evaluation
criterion

Lectur
e
1
2
3
4

Gilbert Strang, "Linear Algebra and Its Applications", 4 th Edition, Thomson


Brooks/ Cole, 2007.

James M Ortega, "Matrix Theory A Second Course", Plenum, 1991.

Otto Bretscher, "Linear Algebra with Applications", 3 rd Edition, Prentice


Hall, 2005.

David Poole, "Linear Algebra A Modern Introduction", Brooks/Cole,


2003.

Quizzes 35%
Attendance 5%
Final: 60%
(policy may vary according the requirement)

Topics to be covered
Introduction to Linear Systems
Matrices, Vectors, and Gauss-Jordan Elimination
Solutions of Linear Systems; Matrix Algebra
Introduction to Linear Transformations and Their Inverses

Linear Transformations in Geometry

The Inverse of a Linear Transformation

Matrix Products

Image and Kernel of a Linear Transformation

Subspaces of Rn; Bases, Vectors in 2-Space, Vectors in 3-Space

10

Linear Combination ,Linear Independence

11

The Dimension of a Subspace of Rn

12

Row Spaces, Column Spaces, Rank of a Matrix, Nullspaces

13

Coordinates

14

Orthogonal Projections and Orthonormal Bases

15

Gram-Schmidt Process

16

QR Factorization

17

Introduction to Determinants and Properties of Determinants

18

The Diagonalization Problem

19

Eigenvalues and Eigenvectors

20

Applications to Systems of Equations and to Geometry of eigen values and


eigen vectors

21

Euclidean Inner Products

22

Real Inner Products

23

Orthonormal Diagonalization

24

Least Squares Approximation

25

Quadratic Forms

26

Complex Inner Products

27

Unitary Matrices

28

Unitary Diagonalization, Singular Value Decomposition.

29

Implementation on MATLAB

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