Complex number, polynomials, matrix, system of equation,
Gaussian elimination, vector space, linear transformation, etc.
T.M. Aposotol's Calculus Vol. 1 in the calculus sections also
introduce topics that is relevant to this area. A few Americans
(exchanged to Sydney) in my third year abstract algebra class
told us they couldn't follow because they haven't learnt much
complex number. In order to have fun with linear algebra and
complex variables in stage 2, it's better to learn complex
number now. - Anton H. and Rorres C. Elementary Linear Algebra -
The application version introduced how linear algebra can be
applied to Markov Chains, Graph Theory, Games of Strategy,
Computer Graphics, Fractals, Chaos, Cryptography, Genetics, etc.
- Axler S. Linear Algebra Done Right - See Axler's page for
this. - Chen W.W.L. Linear Algebra (FREE!) - Read Chapter n's,
for all positive integer n<8. - Chen W.W.L. Miscellaneous Topics
in First Year Mathematics (FREE!) - Dawkins P. Algebra (FREE!) -
Gardner R.B. Linear Algebra (F