Hilary

Lecture 1: Introductory remarks. Introduction to matrices. Matrix addition and subtraction. Start of matrix multiplication.
Lecture 2: Matrix multiplication with examples. Identity matrix and matrix properties.
Lecture 3: Leslie matrices as an application. Beginning of discussion of systems of linear equations and Gauss-Jordan elimination.
Lecture 4: The Gauss-Jordan elimination (GJE) method.
Lecture 5: Examples 2x2 and 3x3 of GJE.
Lecture 6: Notation and some comments on GJE for systems of equations. Introduction to matrix inverse and determinant and starting to use GJE to find the inverse.