I apologize for not writing for a while. I have an algebra midterm on Monday that I've been studying for. I promise to write again once that chaos is over, because all I would write about at the moment is subspaces, matrices, basis. etc. So unless you're interested in what a basis is then I currently have little to say that is of interest to you. Details of my latest non-math adventures may come later this week.
And for those interested...
A basis is a linearly independent spanning set.
Enjoy your new knowledge!