Teaching schedule

The teaching schedule for linear algebra is given below. If you happen to miss a lecture or tutorial, you will need to make sure you catch up with the work before the following week.

Week	Date (w/c)	Lecture	Tutorial
1	29/09/2025	Matrices: definition, indexing a matrix, basic arithmetic operations, matrix multiplication	Exercise 1.1 to Exercise 1.4
2	06/10/2025	Matrices (cont.): determinants, inverse matrix, matrix algebra	Exercise 1.5 to Exercise 1.12
3	13/10/2025	Systems of linear equations: definition, solving using inverse matrices and Cramer’s rule	Exercise 2.1 and Exercise 2.2
4	20/10/2025	Systems of linear equations (cont.): Gaussian elimination and partial pivoting	Exercise 2.3 and Exercise 2.4
5	27/10/2025	Systems of linear equations (cont.): Gauss-Jordan elimination, consistent, inconsistent and indeterminate systems, homogeneous systems	Exercise 2.5 to Exercise 2.7
6	03/11/2025	Vectors: definition, arithmetic operations on vectors, vector magnitude, dot and cross products, linear combination of vectors	Exercise 3.1 to Exercise 3.4
7	10/11/2025	Co-ordinate Geometry: points, lines and planes, vector equation of lines and planes, the point-normal equation of a plane, shortest distance problems	Exercise 4.1 to Exercise 4.7
8	10/11/2025	Vector Spaces: definitions, subspaces, linear dependence, basis of a vector space	Exercise 5.1 to Exercise 5.6
9	17/11/2025	Linear Transformations: definition, transformation matrices, composite linear transformations	Exercise 6.1 to Exercise 6.4
10	24/11/2025	Linear Transformations (cont.): rotation, reflection, scaling and translation transformations	Exercise 6.5 to Exercise 6.7