Linear algebra is about the solution of simultaneous linear equations, linear eigensystems etc., and is based on numerical matrices. This course starts by covering Matlab's basic matrix facilities, fairly quickly, for people who are not experts with them. It then covers the basics of linear algebra using real and complex matrices. It is intended for people who can use Matlab, but need to know what it can do with matrices and linear algebra.
Matrix arithmetic and how matrices are used in linear algebra (e.g. the solution of linear equations) is no longer taught in the ordinary mathematics A-level, but only Further Pure mathematics. If you do not know this, you MUST learn it first. For further information, see Matrix Prerequisites.
The presentation for the course, which is given in two halves.
These are practical exercises to use the facilities taught, and are intended to be worked through in order.
Specimen answers to the exercises
These are some specimen answers, which may help if you get stuck with an exercise.