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 Nov 15 asked $I_m - AB$ is invertible if and only if $I_n - BA$ is invertible. Nov 14 comment Is this $SL_3(\mathbb{F_2})$ look like? @sos440 +1 for the complete list Nov 5 awarded Revival Nov 3 comment How many decimal places are needed for incremental average calculation? @JernejJerin If you are satisfied with the answers, you might consider accepting them, else you might want to indicate what more information you want. Oct 29 comment Good problem book on Abstract Algebra I unaccepted your answer and instead accepted Dedalus's answer since on retrospective, I have found some of the book Exercise in Algebra and other books a more concentrated source of problems. I hope you don't mind. Oct 29 accepted Good problem book on Abstract Algebra Oct 26 accepted Determinant of a Modified Jacobian of a Function Oct 26 comment Determinant of a Modified Jacobian of a Function That's all there to it?! I came up with a similar but infinitely cruder solution, however, I was not sure of this. Also, I was thinking there might be some rank-related solution also. Anyway, thanks. :-) Oct 26 asked Determinant of a Modified Jacobian of a Function Oct 22 revised Give a basis for $\mathrm{Ker}(T)$ and $\mathrm{Im}(T)$ of the linear transformations Corrected Grammar. Oct 22 suggested approved edit on Give a basis for $\mathrm{Ker}(T)$ and $\mathrm{Im}(T)$ of the linear transformations Oct 19 suggested rejected edit on how to prove if $a|b$ and $b\neq 0$, then $|a|\leq|b|$ Oct 19 revised Number of songs sung. Correct Grammar and Removed all Caps. Oct 19 suggested approved edit on Number of songs sung. Oct 18 comment How to solve this equation:$\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x-5}}}}=5$ @vesszabo No, he uses it in this direction, but goes upto infinity, however, I am not sure of the formal justification of the step. Oct 18 comment How to solve this equation:$\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x-5}}}}=5$ The logic is similar to $\sqrt{x-5} =5 \implies \sqrt{x-\sqrt{x-5}} = 5$ Oct 5 awarded Organizer Oct 5 revised Prove that exists a unique subgroup $H$ of $G$ has order of $n$. Corrected a minor grammatical error in the title and the text and tagged the question with abstract algebra tag to better mirror the background. Oct 5 suggested approved edit on Prove that exists a unique subgroup $H$ of $G$ has order of $n$. Sep 28 comment Cycling Digits puzzle Added some more explanation. I hope it is more clear now.