Thanks.
Although using my definition for the standard inner product I had to use \langle a , b \rangle = a^t \bar{y}, but it all worked out in the end.
Is there a non-ugly proof of the following identity:
\langle Ax,y \rangle = \langle x,A^*y \rangle
where A is an nxn matrix over, say, \mathbb{C}, A* is its conjugate transpose, and \langle \cdot , \cdot \rangle is the standard inner product on \mathbb{C} ^n.
I'm 19 and I get allowance. (I have a part-time job during school, and ideally a full-time job otherwise.) Where I'm from, it's perfectly natural for your parents to take care of you financially until you get your degree. Then it's your turn to work your ass off so they can retire with luxury...
Axler vs Friedberg isn't a straightforward comparison. On the one hand, Friedberg covers a LOT of material, with much more exercises per topic. On the other hand, Axler's proofs are pretty nice. I like both books.
Go to a chiropractor as soon as you can.
Also, NEVER over-estimate what you can deadlift. And if you find that your first rep was really difficult, lower the weight. Deadlifting is one of the exercises you do not want to perform with bad form. It's better to have a bruised ego than a messed up...
That sucks man. It reminds me of that time I walked into a differential equations exam only to find that I had a pen - no pencil, calculator, nothing - just a pen! Needless to say, the.. aesthetics of my paper weren't what you would call pleasing. Plus I ran out of time and couldn't finish the...
I think I go by the old saying: "a person who doesn't read books has no advantage over the one who can't." Although I don't think it's particularly applicable here; it's still a good saying! My point is: books are superior to the internet in this regard. I'll use the internet to gather history...