Linear Algebra

Course Code: MATH733

Course Description :

This course uses specialist level skills to relate to and adapt main and core theories and concepts in the study of matrices and determinants, and their applications in numerical solutions of systems of linear equations. It also includes important topics such as linear transformations, eigenvalues and eigenvectors, complex vectors and matrices and numerical linear algebra. In the laboratory, MATLAB is used as mathematical software and solutions to a variety of mathematical problems are determined.

Duration :

16 Weeks

Mode of Delivery :

Interactive Live Online Sessions

Lectures :

Number of Lectures Per Month : 8 Lectures

Number of Tutorials Per Month : 2 Tutorials  (Including Revision Classes for Midterm and Final Exams)

6

Irfan Mohammed

Information Technology

Number of Classes 

Lectures

8

Number of Classes 

Tutorial

2

Per Month

Total Classes

10

Price Per Month

Group Classes

25

BD

Price Per Month

Private

40

BD

Module Learning Outcomes

By the end of this course, students should be able to understand:

  Comprehend the Structural schema of matrices and their different types.

  Able to perform arithmetic operations on Matrices including Addition and Subtraction and Multiplication

  Identity the different special traits of matrices and understand Matrix multiplication better.

  Compute the determinant of a matrix 

  Understand the concept of Inverse and it’s properties.

  Compute concepts like Adjoint, Minor and Determinant which play a crucial Role in computing Inverse

  Explain the relationship vectors and algebra

  Solve problems related to vectors, Subspaces, Dimensions and their spaces.

  Compute Eigen Values and Eigen Vectors for a given Matrix

  Apply the concept of Eigen Values in several spheres and also apply the properties of eigenvalues to find inverse 

  Explain concepts like diagonalisation, Cayley Hamilton Theorem,etc

  Understand Orthogonal Matrices, Unitary matrices and conclude the concepts.

Course Outline

01 -03-02

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