Bernard Pan

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linear-algebra

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Answers

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Score Activity Newest

5

Solve the equation $\sqrt{45x^2-30x+1}=7+6x-9x^2$

Dec 26, 2020

5

Given $X\sim\text{Unif}(0,2\pi)$, find the probability density function of $Y = \sin(X)$

Apr 6, 2021

4

Any group of order $5^2q^m$ is not simple if both $q$ is a prime and $m$ a positive integer such that $5^2\nmid q^m!$

Aug 14, 2021

4

Let $a,b,c$ be integers such that $\gcd(a,6)=3=\gcd(b,6)$. Show that $\gcd(a+b,6)=6$.

Dec 31, 2020

3

The $2$nd, the $1$st and the $3$rd term of an arithmetic progression form a geometric progression

Dec 28, 2020

Questions

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6

Find an element of order $p$ in a non-abelian group $G$ of order $p^3$ where $p$ is an odd prime

Aug 9, 2021

5

Uniqueness of Semidirect Product $(\mathbb{F}_p\times\mathbb{F}_p)\rtimes\mathbb{F}_p$

Aug 10, 2021

5

Let $G$ be a group with center $Z<G$. Prove that if every element in $G\setminus Z$ has finite order, then $G$ is periodic.

Jan 9, 2021

5

Prime $\frak p\subset q\implies\exists$ prime $\frak p_1,q_1:p\subseteq p_1\subset q_1\subseteq q$ with no prime ideals between $\frak p_1,q_1$

Feb 22

4

Kronecker Product of Normal Matrices

Mar 22, 2022

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linear-algebra

18

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18

posts

probability

15

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11

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probability-distributions

14

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10

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real-analysis

13

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14

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solution-verification

13

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11

posts

Reputation

+10

Compact convergence topology coincide with compact-open topology if $Y$ is a metric space.

+40

Prime $\frak p\subset q\implies\exists$ prime $\frak p_1,q_1:p\subseteq p_1\subset q_1\subseteq q$ with no prime ideals between $\frak p_1,q_1$

+10

Kronecker Product of Normal Matrices

+10

Prove a function is continuous on the union of closed sets if it is continuous on each set.

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