Matrices
4 points * Second semester * Clayton * Prerequisites: a 12-point sequence in first-year mathematics including MAT1011 or MAT1022 (a credit grade or higher in MAT1051 is an acceptable alternative to a pass in MAT1011) * Corequisites: MAT2020
Linear spaces. Eigenvalues and eigenvectors. Schur's unitary triangularisation theorem and its consequences. Spectral theorems. Norms on vectors and matrices. Functions of matrices. Application to error analysis. Least squares solutions to linear equations. Location and perturbation of eigenvalues.
Assessment
Examinations (1.5 hours): 80% * Assignments: 20%