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Matrix Theory and Linear Algebra II - MAT4858

Honours Year module NQF level: 8 Credits: 12
Module presented in English Module presented online
Co-requisite: MAT4857
Purpose: This module is a continuation of the introductory matrix theory module MAT4857. It presents an alternative matrix development of the Jordan canonical form as well as a treatment of the classical canonical form for similarity over an arbitrary field. Introductions to matrix analysis and numerical linear algebra, two interesting and important areas of further study, are also presented. Topics include further development of the Jordan form, solution of the matrix equation AX = XB, polynomial matrices, Lagrange interpolation, the classical canonical form, spectral and polar decompositions, matrix analysis, systems of linear differential equations, numerical methods, iterative methods for solving AX = K.