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Mathematics
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M.H
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  • Last seen more than 6 years ago
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answer
73
Do matrices $ AB $ and $ BA $ have the same minimal and characteristic polynomials?
Feb 22, 2013
answer
37
Let $H$ be a subgroup of a group $G$ such that $x^2 \in H$ , $\forall x\in G$ . Prove that $H$ is a normal subgroup of $G$
May 21, 2013
answer
26
First and second derivative of a summation
Jan 29, 2013
question
24
How to prove that $\frac{(5m)!(5n)!}{(m!)(n!)(3m+n)!(3n+m)!}$ is a natural number?
Mar 20, 2013
question
23
Maximal ideals in the ring of real functions on $[0,1]$ [closed]
Apr 28, 2013
question
22
How to prove that $\frac{(mn)!}{m!(n!)^m}$ is an integer?
Feb 23, 2013
question
21
If $f''(x)+f(x)>0$ and $f(x)>0$ $\forall x\in(a,b)$; $f(a)=f(b)=0$; prove that $b-a>\pi$.
Jan 14, 2013
question
21
A group such that $a^m b^m = b^m a^m$ and $a^n b^n = b^n a^n$ ($m$, $n$ coprime) is abelian?
Mar 10, 2013
question
19
how to integrate $\int\underbrace{x^{x^{\cdot^{\cdot^x}}}}_ndx$
Jun 23, 2013
question
19
Let the matrix $A=[a_{ij}]_{n×n}$ be defined by $a_{ij}=\gcd(i,j )$. How prove that $A$ is invertible, and compute $\det(A)$?
Feb 10, 2013