Brief summary of Linear Algebra with a few cool examples

Linear algebra is something that many countries teach in high school but in Australia we learn calculus instead.

The abstract part is only taught in uni and in Australia its in the second year. However if you are someone who thinks mathematically you can probably learn the abstract one first at a very young age at the same time as the concrete one.

As a mathematician, one often finds that the amount of progress one can make often depends on the linear algebra that one knows.

Summarises ideas of abstract linear algebra and  goes through one list of fundamental exercises.

Then we transition into concrete linear algebra and talk about matrices. Some cool examples are included such as why finite fields have a prime power number of elements. A summary statement of Jordan Canonical form Theorem is also given.

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