But it's not so bad, as NASA has yet to discover Bureaucracy Thread technology.....
That's what YOU think.
I got fed really good food last night. And then got to babysit the chef's kids, a 2 year old and a 3 year old. It was fun. Then I got to hang out and chat with the parents when they returned. It was nice.
My brother's life, however, is much more interesting. Yesterday, he got paid $200 to drink beer at 7 am and then watch over some guy's mother-of-all-tailgate setups (huge plasma tv, couches, etc) And then the guy gave him a ticket to some primo seat at the game, because someone else came by hang out at the setup. Oh, and they outfitted him in a (whatever UA's team is called) shirt so he wouldn't be killed by rabid fans.
My brother doesn't even like football.
Today, he took his car out to a racetrack and set his brakes on fire, got 2 black flags and came within a foot of crashing into a barrier. He's loving life and flying SO HIGH on adrenaline as of 10 minutes ago (he called me while driving home, because if he tells his wife about flames, boiling brake fluid, etc, she might have a heart attack. Then kill him.)
I'm amused.
Anyone around familiar with set theory and isomorphisms? I'd like to check a result.
Or linear algebra, for that matter? I don't remember it all that well.
Emily, I'm here, for another few minutes at least.
Ooh! Excellent! So tell me, is phi(A)=det(A) an isomorphism from the structure (2x2 matrices, +) to the structure (Reals, +)? It seems to me like it's not one-to-one, but I did want to be sure.
I will have other questions, mwahahah.
So tell me, is phi(A)=det(A) an isomorphism from the structure (2x2 matrices, +) to the structure (Reals, +)? It seems to me like it's not one-to-one, but I did want to be sure.
It's not an isomorphism. You're right, it's not one-to-one; as a trivial example, any matrix where all four entries are the same will map to 0.
Lily is so beautiful. She often appears to have an air of slumming royalty, amused at the antics of the little people.
I have an odd urge to make snickerdoodles, but am too lazy to look up a recipe and figure out if I have all the ingredients.
Diagonal matrices are invertible, right?
I need somebody to take me out to the store, yet I am too lazy to actually call anybody with a car. Besides, they might turn me down. So I may well die of hunger before long.