LA I: Epiphany Term Lecture Summaries
The table below lists the main topics to be covered in each lecture, and will be updated as the term proceeds.
(You may need to press shift-reload to get the latest version.)
| MATH1091 | Monday 11am CG93 | Tuesday 11am CG93 | Thursday 10am W103 |
| MATH1071 | Monday 12pm PH8 | Thursday 12pm PH8 | Friday 10am PH8 |
| 11 (26) | Collections exam |
1 Eigenvalues, eigenvectors and diagonalisation Changing the basis for the matrix of a linear transformation Eigenvectors and eigenvalues The characteristic equation |
Algebraic and geometric multiplicities of eigenvalues Eigenspaces |
| 12 (27) |
The Cayley-Hamilton theorem Equivalence relations and similarity of matrices Diagonalisable matrices |
A key result: an NxN matrix is diagonalisable ⇔ it has N linearly independent eigenvectors |
Examples; application to systems of ODEs |
 |
 |
|---|
 |
 |
|---|