I don't know but if you're looking for a free linear algebra book, I have heard this is good joshua.smcvt.edu/linearalgebra, it has the solutions to the problems as well
I don't know, we use this one at our university amazon.com/Linear-Algebra-Edition-Stephen-Friedberg/dp/…, but I have no idea how it compares to other ones or really if it is considered to be any good. I like it, I guess, but I don't know if that is an opinion which is shared by other people
@OldJohn interesting! However, "A devout Hindu, Ramanujan said that his findings were divine, revealed to him in dreams by the goddess Namagiri." is quite wrong! (Is this how legends are made? God recited the XXX to YYY and so on? (simple typography erros?)) He always said that Namagiri was his inspiration, enabling him to plow on through his life irrespective of what happened to him. :-)
Anyone here who has an idea how to find the biggest order of an element in $\mathbb{Z}_m$, with $m\in \mathbb{N}$? It's not necessarily $\phi(m)$ is it?
@Argon yes, you need to have special type of connectors. Better use standard ones, else various problems (like parasitic capacitance, impedance mismatch) can crop up.
I have a feeling this isn't difficult, but I'm not seeing how I would get a general expression for $\displaystyle \textrm{gcd}(\underbrace{1\ldots1}_\textrm{n ones},\underbrace{1\ldots1}_\textrm{m ones})$
Strange. anon is becoming more sociable... Hmn. In the recent past, he only emerged from the dark to answer math questions, after the questions were answered he used to disappear in the fog again.
The conjugacy classes are in canonical bijection with integer partitions. Every finite group embeds into a symmetric group. The only non-inner automorphisms of Sn occur when n=6 (I recently made an answer about this). The irreducible representations are tabulated with tableau methods via Specht modules. Every group with an n-transitive action on a set of cardinality n has Sn as a quotient.
On this meta question Gone and Asaf are discussing something big that happened on the site a few months back. Asaf calls it the "MK heat." Could someone explain what they are referring to or point me to some thread that explains it?
@GustavoBandeira Because I want to be an informed user of the site. Recent events, coupled with the results of the last election, indicate to me that there aren't enough sufficiently informed users of the site.