| Unit name | Linear Algebra 2 |
|---|---|
| Unit code | MATH21100 |
| Credit points | 20 |
| Level of study | I/5 |
| Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
| Unit director | Professor. Misha Rudnev |
| Open unit status | Not open |
| Pre-requisites |
MATH 11002 and MATH 11003 |
| Co-requisites |
None |
| School/department | School of Mathematics |
| Faculty | Faculty of Science |
Linear algebra with more rigour and depth than at Level 1. Elementary field theory, vector spaces over arbitrary fields, linear transformations and matrices. The determinant is defined rigorously, leading to characteristic and minimum polynomials of a matrix, and the Cayley-Hamilton theorem. Reducing subspaces, block-diagonal form for reducible transformations, the Jordan normal form over C. Bilinear maps and forms, symmetric and hermitian matrices, orthogonal diagonalisation, analysis of quadrics over R and C. Group theory of invertible linear maps of special types.
