Recent content by daiviko

So, I'm studying for my linear algebra midterm and I came up with kind of an interesting question that I pose to all of you brilliant people on physics forums. Let's say you have a linear transformation T(x)=Ax, with A being an nxm matrice. Apparently, for this equation to hold, x must be a...

Also, aren't all the elements of A also subsets of A? For example of A={1,2,3}, {1} is a subset of A, right? And wouldn't {1} be one of the elements of P(A)? ugh I'm confusing myself.

I still don't understand how they are different though. If the only element of {a} is a, then how does a≠{a}? You also didn't answer my other question. Or maybe you did but I didn't understand it. The textbook seems to imply that just because a is an element of A doesn't mean a is a subset of...

I'm attempting to teach myself topology from a textbook. I'm on the first chapter and came into some trouble with some of the set theory. Here is what the textbook says. We make a distinction between the object a, which is an elemant of a set A, and the one-element set {a}, which is a...

dang it..

ok there is a picture that goes along with it, i will try and draw it in as best i can. We've got a 12 volt battery. a 4 ohm resistor is in series with this big thing I am going to describe next. A two ohm and 1 ohm resistor that are in series are in parallel with a 5 ohm and 1 ohm resistor...