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)
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:
Understand the Fundamentals of Matrices
● Comprehend the Structural schema of matrices and their different types.
● Able to perform arithmetic operations on Matrices including Addition and Subtraction and Multiplication
Master Matrix Determinant and Properties
● Identity the different special traits of matrices and understand Matrix multiplication better.
● Compute the determinant of a matrix
Compute the inverse 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
Grasp and imagine vector spaces
● Explain the relationship vectors and algebra
● Solve problems related to vectors, Subspaces, Dimensions and their spaces.
Comprehend Eigenvalues and EigenVectors
● 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
Analyze Different special matrices and more applications
● Explain concepts like diagonalisation, Cayley Hamilton Theorem,etc
● Understand Orthogonal Matrices, Unitary matrices and conclude the concepts.
Course Outline
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