Linear Algebra
Course Code: MATHS 211
Course Description :
Fields. Vector spaces. Linear dependence and independence. Bases. Dimensions. Subspaces. Quotient spaces. Linear transformations. Connection with matrices. Change of bases (PAQ and PAP). Eigen-values. Characteristic polynomial. Minimal polynomial. Canonical forms in simple cases. Real and complex inner-product spaces. Orthonormal bases. Orthogonal and complex unitary matrices and their eigen-values. Orthogonal and unitary reduction of real symmetric and complex Hermitian matrices.
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
● 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
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