Where are you going to take this first Linear Algebra course (i.e. - what school)?
Most first-year Linear Algebra courses are very similar; they all cover the same material. However, if you are enrolled in an upcoming program at a college or university, why not just surf that school's website and find out exactly what book they use for the course you are planning to take. That way, you are not purchasing two books for the same material. And by purchasing the book for the course before the course starts, you will get a bit of a head start on the material (assuming you work through some of the problem sets). If you can't find the book listed on the school website, make a few calls to the school. It would be worth your time.
If you really want to buy a textbook on your own, regardless of what course you may take, you might consider the textbook used in MIT's OpenCourseware for their Linear Algebra course:
"Introduction to Linear Algebra, Fourth Edition"
by Gilbert Strang
Hope this helps.