The schedule is available here. The topics and recommended exercise can be found here.

There is plenty of additional material, videos or interactive tools available. Examples, that I can recommend, are the linear algebra series by 3Blue1Brown on YouTube or the GeoGebra's 3D-Calculator.

Here is a solution to part (a) of problem 3.2 from the exercise sheet of module 4:

Problem 3.2

You may find the lecture notes here:

Lecture 1 - Vectors, norms, dot and scalar products and projects
Lecture 2 (there are no notes - this will be an exception)
Lecture 3 - Solving systems of linear equations I
Lecture 4 - Solving systems of linear equations II
Lecture 5 - Matricies
Lecture 6 - More on matricies
Lecture 7 - Determinants
Lecture 8 - The geometry of determinants
Lecture 9 - Vector spaces and linear (in)dependence
Lecture 10 - Linear maps and transformations
Lecture 11 - Orthogonal matrices and eigenvectors
Lecture 12 - More on linear maps and an introduction to bases and dimension
Lecture 13 - More on bases and fundamental spaces of matrices
Lecture 14 - Orthonormal bases and the Gram-Schmidt method
Lecture 15 - The method of least squares and basis/coordinate change
Lecture 16 - Bases change and diagonalization
Lecture 17 - More on bases changes, diagonalization and orthogonal diagonalization
Lecture 18 - Quadratic forms (take a look at drawings of the level sets/curves)
[interactive tools: Level Curves by Sarah Harrelson and Conic Sections by Tim Brzezinski]
Lecture 19 - General vector spaces
Lecture 20 Discussion of exam questions (part B&C) of 2022-10-24 and 2021-10-25