The Course

The course begins with the study of the vector spaces R2, R3, and Rn, discussing elementary operations on vectors, linear independence, spanning sets, bases, the rank of a matrix, orthogonal bases, and the Gram-Schmidt process. Then 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, as well as the kernel and range of a linear transformation. Applications of linear transformations to computer graphics are also examined. Finally, eigenvalues, eigen-vectors, and eigenspaces are discussed, as well as similar matrices and diagonalizable matrices.

Course details

Faculty: Faculty of Science and Health (FSCH)
School: School of Science
Department: Department of Mathematics
Course title: Linear Algebra
Course code: LAL6308
Language: English
Location: FSCH
Period: Academic year 2016-2017
Lecturer: Najem Mohammad Abdallah
Support: Office hours by appointment only

Entry level skills

The student must be able to read various provided sources in English and write short essays and participate in class discussions.