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.
I'd take you, Theodosia, if I weren't dedicated to being slug like.
I'll take a raincheck.
The good news is that I've retained the cardealerphobia guy, who is like a buyer-broker for automobiles. He has a couple of likely prospects, we're going to take a test drive on Wednesday, so I could have a car by next weekend in a best case scenario situation.
People need to come post fun stuff so I don't have to clean.