27,579 reputation
21849
bio website drexel.edu/math/contact/ta-ra/…
location United States
age 24
visits member for 1 year, 4 months
seen 9 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:

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1m
revised Is $Ape_1+Aqe_2$ where A (3x3) matrix, considered as a linear combination of $e_1,e_2$
added 325 characters in body
9m
comment Is $Ape_1+Aqe_2$ where A (3x3) matrix, considered as a linear combination of $e_1,e_2$
Why don't you simply copy the question, exactly as it is written? The fact that we have eigenvectors does change a lot about the question.
14m
comment Is $Ape_1+Aqe_2$ where A (3x3) matrix, considered as a linear combination of $e_1,e_2$
Do $e_1$ and $e_2$ denote the standard basis vectors? Also, for future reference, any important information that you put in the title should be repeated in the body of the question. Your title should just be a quick summary of the question that you have.
17m
answered Is $Ape_1+Aqe_2$ where A (3x3) matrix, considered as a linear combination of $e_1,e_2$
22m
comment Is $Ape_1+Aqe_2$ where A (3x3) matrix, considered as a linear combination of $e_1,e_2$
What do you mean by "A and M are matrices, considered as a linear combination of $e_1,e_2$"? What is it that we know about the matrix $A$? Do we know what its columns are?
4h
answered What are the $\succ$ and $\prec$ operators for when used with matrices?
18h
answered Matrix Norm Division
18h
answered SOLVE FOR $\sum (X- \overline X )^2$ when $n =1801$ and $S^2= 10$.
18h
comment Number of positive, negative eigenvalues and the number of sign changes in the determinants of the upper left submatrices of a symmetric matrix.
For one method, see the Cauchy interlacing theorem
18h
revised Find the number of natural numbers less than 2014 which are neither squares nor cubes
edited tags; edited tags
19h
answered what is the maximum order one element could have in permutation group $S_5$?
19h
comment Can the number of sign changes in a sequence of determinants tell us how many negative eigenvalues a symmetric matrix has?
@logic yes, this is true. And in fact, the sign changes count the number of negative eigenvalues. However, it is not clear how this would be derived from the statement you started with.
21h
answered How to prove that an M-matrix is inverse-positive?
22h
answered Orthogonal Matrices and Similarity Transforms
22h
answered Are congruent shapes similar, too?
22h
revised Can the number of sign changes in a sequence of determinants tell us how many negative eigenvalues a symmetric matrix has?
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22h
comment On compact set in real analysis
Equivalently: every compact set is totally bounded
1d
answered How to show that $\| QA\|_2=\| A \|_2$ where $Q$ is unitary (for a matrix A)
1d
comment Number of Jordan canonical form of a matrix
Yes, this is true. Are you able to show why this is the case?
1d
answered Number of Jordan canonical form of a matrix