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Mathematics
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Noa Even
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math and CS at day, math and CS at night

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12
Is there a way to know if a row reduction of a matrix has been done correctly?
Jul 15, 2018
6
Find for which $\alpha$ the integral $\int_{0}^{1} \frac{1-x^{\alpha}}{1-x}dx$ converges
Jul 21, 2020
5
Given a finite solvable group $G$, prove that a minimal normal subgroup $H$ is a $p$-group
Mar 6, 2021
4
Let $T:V\to V$ be a linear map, where $V$ is an inner product space. Given $T^2=\frac{T+T^*}{2}$, prove that $T$ is normal and that $T=T^2$.
Aug 10, 2020
4
Let $A,B$ be squared matrices. Given $A=I-AB$, Prove: $B^3=0$ if and only if $A=I-B+B^2$
Dec 19, 2019
4
Max dimension of subspace $U\subseteq V$, where $V$ is a vector space of functions $[0,1]\rightarrow \Bbb R$
Jun 21, 2018
4
Find $\lim_{n \to \infty} \left(n - \sum_{k=1} ^{n} \cos \frac{\sqrt{k}}{n} \right)$
Jan 18, 2019
4
$\operatorname{rank}(A) = \operatorname{rank}(B)$, Prove there exist $U, V$ invertible matrices such that: $A = UBV$
Jan 14, 2019
3
Prove: $\int_{0}^{1} \frac{e^x}{x^{2}+1}dx\le e -1 $
Feb 28, 2021
3
Let $|G|=5780$, prove $G$ has one and only subgroup of index $4$
May 17, 2021