So here is my suggestion, if you are planning to pursue Mathematics as your degree in college or beyond, challenge yourself now and struggle on the proof based books. It is better to get used to it now, for almost every book beyond LA does not have solutions at the book of the book nor a...
This is the book I used when I took Linear Algebra,
http://www.math.brown.edu/~treil/papers/LADW/LADW.html
"Linear Algebra Done Wrong" by Serge Treil.
I personally feel it is a well written introductory level text on Linear Algebra. It is also less computational than similar books at an intro...