36,003 reputation
22355
bio website drexel.edu/math/contact/ta-ra/…
location United States
age 24
visits member for 1 year, 7 months
seen 3 hours 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:


4h
answered Find value of x from the span of vectors.
4h
comment Find value of x from the span of vectors.
What are your thoughts on this question?
4h
comment Linear dependence of $\left\{x^{n}\,\colon\, n\in\mathbb{N}\right\}$
$f(x) = 0$ means that $f(a)$ = 0 for every $a \in \Bbb R$. If $f(x) = 0$, then $\lim_{x \to \infty} f(x) = 0$. Thus, if $\lim_{x \to \infty} f(x) \neq 0$, then $f(x) \neq 0$.
4h
answered Triangularization of a matrix.
4h
answered Solve $e = xe^x$
4h
comment Can a matrix have eigenvalue with infinite multiplicity?
How did you decide that $a^2 = 0$?
4h
answered Linear dependence of $\left\{x^{n}\,\colon\, n\in\mathbb{N}\right\}$
8h
comment Simple question about inner product spaces
$\langle y,x \rangle = \overline{\langle x,y \rangle}$. And, for any $z \in \Bbb C$, Re$(z) \leq |z|$.
8h
comment Simple question about inner product spaces
Square and expand both sides. Write both out completely, and edit those into your question. If you don't see the answer at that point, I'll just write it out.
8h
comment Simple question about inner product spaces
See my latest edit
8h
revised Simple question about inner product spaces
added 152 characters in body
8h
comment Operator norm of a matrix less than or equal to one
That depends on which vector norm you're using.
9h
answered Simple question about inner product spaces
9h
revised Simple question about inner product spaces
added 3 characters in body
9h
comment Simple question about inner product spaces
Square both sides.
9h
comment What is wrong with my proof: $-1 = 1$?
I'm fairly sure this has been on this site before. At any rate, the rule that generally fails here is $$ \sqrt{ab} = \sqrt a \sqrt b $$ This is true when $a,b \geq 0$, but not in our generalization to the complex numbers.
9h
answered Change of Basis for $2\times2$ matrix
9h
revised To show two matrices are conjugate to each other
added 19 characters in body
9h
revised How to prove this equation about derivatives?
added 177 characters in body
13h
comment Eigen value system? solution
@MarcvanLeeuwen perhaps it is I, then, who needs coffee.