There are literally hundreds of textbooks about matrices and linear algebra, so it is worth browsing the library and finding one that you like. If you get a good one, let me know.

As an undergraduate I found *Linear Algebra* by A.O. Morris very clear and
easy to read. *Advanced Engineering Mathematics* by E. Kreyszig (any
edition, there are loads) is also well written and despite the title has a great
deal of material relevant to a math degree, not just linear algebra. I haven’t
read *Vectors, Pure and Applied: A General Introduction to Linear Algebra*
by T. Körner, but the author is an excellent writer. The previous MATH0005
lecturer recommended *Guide to Linear Algebra* by D. Towers (no relation
to me), *Elementary Linear Algebra* by H. Anton, and the more
sophisticated *Linear Algebra* by S. Lang.

The MIT class
*18.06
Linear Algebra* lectured by Gilbert Strang is really interesting, and Strang is
a famously good lecturer. Lecture videos and assignments are available online.
The course has almost no proofs which means it has time to cover a really wide
range of material, far beyond what goes in a normal first year linear algebra
course. Don’t watch the lectures without also doing the assignments!