Elliott
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 Jun 29 comment Is there a “good” way to visualize complex vectors? They are isomorphic as vector spaces over $\mathbb{R}$ only. But no, I was trying to figure out how you visualize 4 spatial dimensions in the first place. Jun 28 comment Is there a “good” way to visualize complex vectors? How do you like to visualize $\mathbb{R}^4$? Jun 24 comment Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety? Great answer, thank you! Regarding the definition, I agree with your disagreement; the book I'm reading explicitly says "this is only a temporary working definition" (the "real" definition to be given a bit later). Regarding the exercise, is there anything preventing me from taking the subspace spanned by the matrix with 1's in the first $k$ positions of the main diagonal? Finally, I'll try to get a handle on the geometric perspective in the meantime. Jun 24 comment Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety? Nice one, thanks! Jun 24 accepted Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety? Jun 24 asked Are “$n$ by $n$ matrices with rank $k$” an affine algebraic variety? Jun 15 awarded Altruist Jun 12 comment Are cyclic groups always abelian? Sounds good. And in fact, having this picture is great because it shows that each row (or column) is the previous row (or column) shifted by 1. What's more is that if we associate $e,a,b$ with $g^0, g^1, g^2$, then we can see the "addition table" structure come out. Jun 12 comment Are cyclic groups always abelian? This is a valid example, but giving a single example doesn't explain why we'd expect cyclic groups to be abelian in general. Jun 12 awarded Critic Jun 10 comment Contemporary Mathematical Columns in Magazines I know these aren't columns, but do resources like TopCoder or Project Euler qualify? Jun 10 answered Fun Linear Algebra Problems Jun 10 awarded Organizer Jun 10 comment How can I calculate the standard deviation knowing an event probability and a number of trials? Good question! I hope it's okay that I removed the "probability-theory" tag. Jun 10 revised How can I calculate the standard deviation knowing an event probability and a number of trials? edited tags Jun 10 awarded Quorum Jun 10 comment Help with understanding and studying probability And of course, posting such questions on this site would be helpful :) Jun 10 answered Help with understanding and studying probability Jun 10 comment Largest Part of a Random Weak Composition That's a cool insight; if you actually use this approximation, what can you say about the error (especially when $n$ is small)? Jun 10 awarded Investor