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Matrix Theory and Linear Algebra I - MAT4857

Honours Year module NQF level: 8 Credits: 12
Module presented in English Module presented online
Purpose: This module comprises an introduction to the theory of matrices designed to cover those topics most frequently encountered in physical applications. Topics include matrices and linear systems, equivalence (row and column) and its canonical forms, vector spaces, determinants, linear transformations, the Cayley-Hamilton theorem, the Gram-Schmidt orthogonalisation process, Schur's triangularisation theorem, nilpotent operators, similarity and the Jordan canonical form.