33,158 reputation
22253
bio website drexel.edu/math/contact/ta-ra/…
location United States
age 24
visits member for 1 year, 6 months
seen 5 mins ago

I am pursuing a PhD in mathematics at Drexel university in Philadelphia, PA. I started my Teaching assistantship in fall 2013. As of now, I am not sure where my interests lie, though I am leaning towards something along the lines of matrix analysis.

I'm here because I enjoy being a part of the MSE community, and because whether you're asking or answering, you can never get enough practice with math problems.

Some answers I had fun putting together:

Some of my favorite questions/answers:

Useful links:


56s
comment If $T : F^{2 \times 2} \to F^{2\times 2}$ is $T(A) = PA$ for some fixed $2 \times 2$ matrix $P$, why is $\operatorname{tr} T = 2\operatorname{tr} P$?
And one may also observe that $T \cong P \otimes I$
21m
answered If $T : F^{2 \times 2} \to F^{2\times 2}$ is $T(A) = PA$ for some fixed $2 \times 2$ matrix $P$, why is $\operatorname{tr} T = 2\operatorname{tr} P$?
28m
comment Mathematical Christmas Anecdotes, Stories and Problems
@GOTOo I interpreted "Christmas story" as story to be told during Christmas rather than story about Christmas, per se. This strikes me as an excellent fireside tale.
36m
answered Mathematical Christmas Anecdotes, Stories and Problems
39m
comment Proving or disproving $\{\{a\},b\}=\{\{c\},d\}\iff a=c \land b=d$
I know the LHS isn't like in the definition of ordered sets so it's probably false. This is a fairly good piece of intuition to have. Beware convenient statements.
42m
answered Show that this mapping (with respect to basis) is a linear transformation.
49m
answered Proving or disproving $\{\{a\},b\}=\{\{c\},d\}\iff a=c \land b=d$
53m
answered examine if series is convergent
1h
comment examine if series is convergent
So are you "allowed to differentiate" then?
1h
comment examine if series is convergent
I don't see an obvious reason that the partial sum of the $(-1)$ terms should be bounded. Perhaps I'm missing something.
1h
revised examine if series is convergent
added 6 characters in body
1h
comment Prove that a set in a metric space cannot be both open and closed.
@user119615 that is true if and only if $X$ is connected, which is certainly true if $X = \Bbb R$, for example.
1h
answered Prove that a set in a metric space cannot be both open and closed.
1h
comment Prove that a set in a metric space cannot be both open and closed.
Why would you want to prove something false?
1h
comment how to calculate the following integral$\int_{-\infty}^{\infty}\frac{1}{\left(t^2+\pi^2\right)^2 \cosh(t)}dt$
Also, I'm not sure what you mean by "I need to very hollowing steps". Do you mean following? Or perhaps harrowing?
1h
comment how to calculate the following integral$\int_{-\infty}^{\infty}\frac{1}{\left(t^2+\pi^2\right)^2 \cosh(t)}dt$
What have you tried so far? Any ideas as to which contour in the complex plane we should use? Anything particularly difficult about this problem that's throwing you off?
1h
revised how to calculate the following integral$\int_{-\infty}^{\infty}\frac{1}{\left(t^2+\pi^2\right)^2 \cosh(t)}dt$
edited tags
1h
revised Eigenvalues of $A$ and $A + A^T$
added 46 characters in body
1h
comment Finding non-zero eigenvalues of a $5\times 5$ matrix
Note that $A = uu^T + vv^T$ where $$ u = (1,0,0,0,1)^T\\ v = (0,1,1,1,0)^T $$
1h
comment $L=\lim_{x\to\infty}(f(x)+f'(x))$ exists . Which of the following statements is\are correct?
Well, note that $$ \lim f' = \lim[f + f'] - \lim f $$