Basic Linear Algebra

This is a learning resource page for Linear Algebra, mainly for Part 2 undergraduates.
It is not specific to any module or programme. Check your syllabus.

Selected Lecture Notes and Other Reading

The following sets of notes may provide useful support for your studies.

Some handy notes on LINEAR ALGEBRA
One good way to learn more about linear algebra (or to learn about it if the formal treatment doesn't suit you!) is to think about its applications. There are lots of interesting problems in Economics, Engineering , Physics, Finance, Chemistry and so on that are well modelled by a system of simultaneous linear differential equations. These are quite easy to solve if we can do linear algebra! For examples see the textbooks mentioned below.
Some handy notes on SETS, COMPLEX NUMBERS, SEQUENCES AND SERIES, and DIFFERENCE EQUATIONS (provisional version) (NB, Matrices are not included).

Some useful textbooks

Online resources -- try here: archive.org
E Kreyszig, Advanced Enineering Mathematics 10th Ed. (Wiley) p.130
(This great book might be available online, on archive.org!)
A C Chiang, Fundamental Methods of Mathematical Economics (McGraw-Hill) p.616
Mathematical Methods for Science Students (Longman), G Stephenson.
(Covers Complex Numbers, Matrices, Series, Difference Equations)
Sokolnikoff and Sokolnikov, Higher Mathematics for Engineers and Physicists here!

Exercises

Many Exercise sheets in a single pdf file (provisional version) Print off as much as you like! Sets of sheets for individual topics are below.
Exercises on Matrices
Exercises on Complex Numbers
Exercises on Series

Random links to some past examination papers

Algebra 03 Exam paper, and Model solutions .

Paul Martin (base=amsta)

Last Modified: Mar 2007 " fold-bottom-mark: "" End: -->