1,299 reputation
828
bio website
location
age 24
visits member for 3 years
seen 14 hours ago

Sophomore Graduate Student in Mathematics


Nov
15
accepted $I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
Nov
15
comment $I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
This is how I did the problem the first time, but then I forgot how I did it and was stuck. :P Thanks :-)
Nov
15
comment $I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
Thank you for another nice answer.
Nov
15
comment $I_m - AB$ is invertible if and only if $I_n - BA$ is invertible.
Thank You. It makes the proof quite obvious now. :D
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 suggested edit on Give a basis for $\mathrm{Ker}(T)$ and $\mathrm{Im}(T)$ of the linear transformations
Oct
19
suggested suggested 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 suggested 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 $\sqrt{x-5} =5 \implies \sqrt{x-\sqrt{x-5}} = 5$