# Matt N.

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 Mar30 comment Question about notation / terminology Many thanks! I have another question: what is the exact difference between $GL(E)$, the isomorphisms form $E$ to $E$ and $GL(n,k)$, the invertible $n \times n$ matrices with coefficients in $k$? (assuming $E$ is a vector space over $k$). Aren't invertible matrices automorphisms? And can I not write any linear automorphism as a matrix? Mar29 comment Largest eigenvalue of a real symmetric matrix @Rafael: According to Wikipedia, the spectral theorem gives you conditions under which a matrix is diagonalizable, so yes, I think the spectral theorem is related. Mar29 revised Largest eigenvalue of a real symmetric matrix Second hint added. Mar29 answered Largest eigenvalue of a real symmetric matrix Mar28 comment Question about notation / terminology @Arturo: confusingly not the set of continuous functions, even though $C$ is used. But I don't think it's a typo in the script, the script is rather typo-free. Mar28 comment Question about notation / terminology @Arturo: the set of functions from $G$, a group, to $k$, a field. Mar28 comment Question about notation / terminology @BBischof: Sure, what would you suggest? Mar28 comment about continuous functions "that delta gives you an epsilon" should be "that epsilon gives you a delta", if you would like to use the conventional notation. Mar28 answered about continuous functions Mar28 asked Question about notation / terminology Mar26 asked Proof of another Hatcher exercise: homotopy equivalence induces bijection (part II) Mar24 comment Is an intersection of two splitting fields a splitting field? nice answer! Mar23 comment Proof of another Hatcher exercise: homotopy equivalence induces bijection It is interesting to see how much easier something can be using good notation (yours instead of mine). Mar23 revised Proof of another Hatcher exercise: homotopy equivalence induces bijection Removed ("stroke") second half of the question. Mar23 accepted Proof of another Hatcher exercise: homotopy equivalence induces bijection Mar22 revised What property of the transition matrix of a Markov process determines that there is a finite, non-zero long-term distribution? Correction added. Mar22 comment What property of the transition matrix of a Markov process determines that there is a finite, non-zero long-term distribution? @Byron: thanks Byron, I corrected it. Mar22 answered What property of the transition matrix of a Markov process determines that there is a finite, non-zero long-term distribution? Mar22 awarded Organizer Mar22 comment Proof of another Hatcher exercise: homotopy equivalence induces bijection @Theo: that I hadn't accepted your (first) answer didn't mean I wasn't going to! I left this question "unaccepted" because I personally wasn't done with this exercise, not because I wasn't satisfied with your answer.