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!