I use have a TI Nspire CX CAS, a TI 89 Platinum and a handful of high-end Android calculators. But when it comes to linear algebra (only), you can't beat this little app. It pretty much does everything you need to do. What I like most about the app is that with one key you can get a whole lot of information about a matrix in one place, and it even shows you the step-by-step operations for some of the routines. The only thing missions is the matrix template style interface for entering numbers.
Linear Algebra Course App at Google Play market analyse