Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
30,412 
G,H be groups(finite or infinite)
Prove that if (G:H)=n, then there exist some normal subgroup K of G (G:K)≤n!...

Mar2210 08:23 AM
emptyboat

3 
1,144 
Need to find all the posible solutions (a,b,c) for 1/a + 1/b + 1/c = 1, a,b,c integers.

Mar2210 04:56 AM
im_hoogiez

14 
17,016 
Hi there,
just a pretty straight forward query I need cleared up.....
If a question asks for the null space of A...

Mar2210 02:07 AM
canyonist

2 
702 
Hi guys,
I'm trying to show that \mathbb{F}_5/(x^2+2) and \mathbb{F}_5/(x^2+3) are isomorphic as rings.
As I...

Mar2110 08:54 AM
JackTheLad

4 
1,127 
How do we show that, given a matrix $A$, the sign of the determinant is positive or negative depending on the...

Mar2010 08:44 PM
quasar987

3 
1,008 
hey guys, im a student engineer and have found that the laws we use are primarily based off of stats. this has led me...

Mar2010 01:37 AM
robert2734

10 
1,844 
Hello,
Let's consider the L^2(\mathbb{R}) space with an inner product, and the complex sinusoids in the interval...

Mar1910 04:09 PM
jostpuur

5 
2,355 
I'm an undergraduate computerscience student doing research in the field of computer vision, and one of the tasks...

Mar1910 07:06 AM
mikeph

1 
3,693 
Hello people.
I'm a freshman in college and I'm looking forward to enter an advanced mathematics program. The...

Mar1810 01:26 PM
Hobold

9 
7,854 
If I want to know how many solutions a consistent linear system with more equations than unknowns has, how do I tell?...

Mar1810 06:49 AM
HallsofIvy

1 
3,216 
hi,
i was reading about finitely generated ideals
and there was a remark that ideal which consists of...

Mar1810 05:12 AM
mrbohn1

1 
1,520 
hi,
i want to show that If R is a PID then a submodule of a cyclic Rmodule is also cyclic.
do i need to use...

Mar1710 08:33 PM
mesarmath

2 
2,035 
I am having the hardest time proving that
"The product of any two even integers is a multiple of 4."
My proof...

Mar1710 04:02 PM
tinytim

1 
1,210 
Proving Axiom 1 of all 3 x 3 magic squares.
I used summation notation to do so but it is extremely long and...

Mar1710 09:31 AM
Zorba

4 
1,331 
How to prove that if A is a diagonalizable matrix, then the rank of A is the number of nonzero eigenvalues of A....

Mar1710 09:10 AM
Zorba

2 
1,058 
If A\in O(3) and v,w\in\mathbb{R}^3, then
(Av)\times (Aw) = (\textrm{det}\;A) A(v\times w)
is right, right?...

Mar1610 03:08 PM
Jmf

7 
3,183 
Take two rows of respective length m and n:
a1, a2, a3,..., am and b1, b2, b3, ..., bn.
Then produce as follows...

Mar1610 02:11 PM
mahch

6 
1,361 
Hey guys!
I am having a major brain problem today, with this problem.
L is a linear transform that maps...

Mar1610 11:03 AM
Takuya

4 
3,074 
Hello all,
I'm attempting to find in literature a method of determining from a Lie algebra's full root system in an...

Mar1610 10:53 AM
TIMRENNER

0 
1,014 
Hey I'd appreciate it if somebody could "yay or nay" my understanding of the following concepts, I think I'm mixing...

Mar1510 06:46 PM
sponsoredwalk

4 
948 
See the attachment///
Can Anyone Understand this???
I mean what metod has he followed to solve this equation for x...

Mar1410 07:28 PM
phymatter

2 
834 
given the sequence (power series) g(x)= \sum_{n\ge 0}a(n)(1)^{n}x^{n}
if i define ...

Mar1410 01:42 PM
g_edgar

3 
1,243 
Hi everybody,
I'm new to absract algebra and I really can not understand different between direct sum and direct...

Mar1410 11:58 AM
Landau

9 
7,008 
So an example was the matrix:
A = \left(\begin{array}{cccc}
a&a+b\\
b&0\\
\end{array}
\right)
is a...

Mar1410 11:52 AM
Landau

2 
2,275 
Definition: A primitive Pythagorean triple is a triple of natural numbers x,y,z s.t. x^2 + y^2 = z^2 and gcd(x,y,z)=1....

Mar1410 07:13 AM
Gokul43201

8 
3,681 
Hi,
I've been trying to get my head around this. \Sigma_{(j)} is a p x p matrix given by
\Sigma_{(j)} =...

Mar1410 04:04 AM
maverick280857

4 
6,289 
WITHOUT using the MATLAB ‘MULTIPLICATION COMMAND’ write down your own program to implement the matrix multiplication M...

Mar1310 04:40 PM
jbunniii

1 
1,740 
I quite like the following definition of pi and I wonder which minimal algebraic rules are needed to make this...

Mar1310 09:40 AM
Gerenuk

2 
1,049 
e_r=\#\lbrace d:d\mid n\;\;\; \textup{and}\;\;\; d=p_r^k, k\in N\rbrace
where n=p_r^{e_r}
I am using it in a...

Mar1210 11:31 PM
ballzac

4 
1,133 
I am reading an Abstract Algebra book, and there is a theorem that says:
Thm: If G is a finite group, then the...

Mar1210 09:52 PM
quasar987

1 
1,047 
"Let p be an odd prime, then we proved that the Legendre symbol
http://sites.google.com/site/asdfasdf23135/nt9.JPG
...

Mar1210 08:11 PM
robert Ihnot

12 
4,146 
Hi Everyone,
I am reading up on information theory, and every resource I have found on the topic which derives the...

Mar1210 07:29 PM
boboYO

5 
1,250 
Hi...
I need a program that can give me all the subgroups of a group that I define. I also need it to give me the...

Mar1210 02:55 AM
krishna mohan

2 
1,300 
does the floor function satisfy
floor(x)= x + O(x^{1/2})
the idea is the floor function would have an 'smooth'...

Mar1110 08:15 PM
CRGreathouse

7 
2,041 
nevermind, please delete

Mar1110 04:35 PM
emyt

0 
1,005 
This may seem like a very obvious question, but I thought it may be some sort of trick that my lecturer thought I may...

Mar1110 09:25 AM
HallsofIvy

1 
2,384 
So I am working on solving sets of linear congruence with the chinese remainder theorem. When I go to solve for the...

Mar1010 05:46 PM
ramsey2879

2 
2,226 
So I have a couple of questions in regards to linear operators and their eigenvalues and how it relates to their...

Mar1010 11:57 AM
bjgawp

5 
2,896 
I am having trouble with this proof: show that if dn then phi(d)phi(n). I know that if dn, then ad=n and that...

Mar1010 11:21 AM
Petek

7 
3,841 
I have the following equation:
(k(x)*g(x)')'=p*g(x)
where
k(x) = k(x+T)  k(x) is a known periodical function...

Mar1010 07:47 AM
simplex

1 
906 