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WinEdt is by far the best TeX editor out there. The main downside is that it's not free (although it is free to try for 30 days). It also has a bit of a learning curve; it's fully customizable, and it takes some time to optimize it to your preferences. But believe me, if you're planning to write in TeX for at least one more year of your life, the investment is well, well worth it. There are many innovative features here. One example is that typing \cite{} brings up a list of all citations; simply click on one and it gets entered. (Same goes for equation references.) There are special modes which make entering matrices and tables a snap, there's a spell-check dictionary and thesaurus, there are LaTeX to HTML converters, etc. And did I mention WinEdt is fully customizable? Every single menu option, shortcut, and command can be changed to whatever you like.
Incidentally, I strongly recommend you download and set up SumatraPDF. It's free, works very well, and synchronizes beautifully with WinEdt.
Matrix calculator is the best online matrix calculator I've found. (A word of caution -- I've seen more than one online matrix calculator which gets simple operations (like calculating the determinant) wrong!) Although at first it looks like it only handles square 3x3 matrices, this is not the case -- you can input and manipulate matrices of arbitrary size and dimension.