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

Feb2313 09:24 AM
micromass

1 
35,893 
Let V be a vector space over a field h and let n be a positive integer. Let f:V > h^n be a linear map given by
f(v)...

Sep111 01:30 AM
Josh Swanson

2 
1,037 
The dihedral group Dn of order 2n has a subgroup of rotations of order n and a subgroup of order 2. Explain why Dn...

Aug3111 04:24 PM
mehtamonica

2 
2,699 
Hey guys, this question is more or less related to the way Frobenius' theorem is presented in my text. Consider an n ...

Aug3111 02:19 AM
WannabeNewton

2 
2,046 
Im working on understanding Gröbner bases. I've understood how to show existance and uniqueness(of reduced Gröbner...

Aug3011 06:44 PM
Vorstelen

0 
1,223 
Prove that if a group G has no nontrivial subgroups, G is finite and o(G) is a prime number, where o(G) is the order...

Aug3011 01:03 PM
micromass

5 
2,840 
There is a Theorem that says FGModules are equivalent to group representations:
"(1) If \rho is a representation...

Aug3011 10:04 AM
OMM!

0 
824 
Hi everybody,
Here is something I've been trying to figure out but to no avail.
General problem description:...

Aug3011 06:26 AM
reduction

0 
1,190 
Suppose I want to decompose A = \left(\begin{array}{cc}4&4\\3&3\end{array}\right).
A = U \Sigma V^T => A^T A = V...

Aug3011 12:01 AM
Dickfore

18 
4,173 
This is going to be kind of a long post, and I'm citing the author because it's directly from a textbook, but I'm...

Aug2911 03:56 PM
blueberryfive

3 
2,859 
Hi there. I started learning about subspaces in linear algebra and I came across a question which i'm unsure how to...

Aug2911 01:51 PM
Warpenguin

14 
1,665 
Hi!
First ever class of Modern Algebra today. I have a question about the wellordering principle, introduced in...

Aug2911 01:31 PM
Bacle

5 
2,334 
Hi, All:
I am trying to see how to classify all symmetric bilinear forms B on R^3 as a V.Space
over the reals....

Aug2911 01:22 PM
micromass

1 
1,446 
the definition of a determinant is not simple at the first sight
however we still have extremely simple relation...

Aug2911 12:06 PM
Bacle

1 
1,134 
Hello,
I'm trying to find a fast way to solve the matrix equation (A+pI)x=b, where A is a large matrix, I is the...

Aug2811 08:44 PM
Stephen Tashi

2 
1,487 
I have to find the number of elements in Aut(Z720) with order 6. Please suggest how to go about it.
1) Aut(Z720)...

Aug2811 08:06 PM
lpetrich

7 
2,432 
Hi , I have been thinking of this question for a long time. Can someone give me an advice?
There are three known...

Aug2811 10:48 AM
Stephen Tashi

10 
4,060 
I have a couple of problems with the conjugate. I have two equations to solve, (conjugate)z=2/z and (conjugate)z=2/z...

Aug2711 10:39 AM
tinytim

5 
1,376 
Is there any physical significance of the matrix terms such as cofactors and minors? I state that this is used for...

Aug2711 09:58 AM
Stephen Tashi

1 
2,774 
Patz, Wilhelm:
"Tafel der regelmässigen Kettenbrüche für die Quadratwurzeln aus den natürlichen Zahlen von 1 ...

Aug2711 03:26 AM
RamaWolf

0 
1,893 
I would like to have this thread dedicated to showing math tricks from all areas of mathematics. Hopefully the title...

Aug2611 11:00 PM
Hurkyl

282 
34,047 
If you have one pool ball sitting on a table, and you're told to multiply the pool ball by negative one, how can it...

Aug2611 07:09 AM
JHamm

10 
3,455 
If I have a vector:
origin = new Vector(x, y)
then, I would like to get N sub vectors, each one of the N sub...

Aug2611 06:37 AM
HallsofIvy

1 
1,620 
I am hoping that there may be some frames experts at PhysicsForums that might be able answer the following question:
...

Aug2511 06:43 PM
newbee

0 
1,003 
Hello. I keep on encountering the need to find the Tensor or Kronecker product of two vectors. Based on the...

Aug2511 06:41 PM
wil3

6 
2,555 
The Supergolden ratio is the solution of x3=x2+1.
\psi = \left({{\sqrt{31}}\over{2\ \times 3^{{{3}\over{2}}}}}...

Aug2511 05:00 AM
dimension10

5 
4,906 
All continuous functions on closed interval form a vector space. The functions in this space are the vectors. However...

Aug2411 05:24 PM
mathwonk

4 
2,605 
Do basic operations on vectors, like addition and subtraction change if you change the underlying geometry? For...

Aug2411 01:47 PM
tut_einstein

0 
1,191 
Hello i have this matrix \in Z mod 7,
M = \begin{pmatrix} 0&6\\ 5&0 \end{pmatrix}
always modulo 7 in Z.
I found...

Aug2411 06:40 AM
HallsofIvy

3 
1,666 
Just as the title says, suppose X is a symmetric manifold and \hat{S}(x) is the linear operator associated to...

Aug2411 12:38 AM
Funken

1 
1,425 
I've got a question and I really need the answer! Why 10adics are not a field? And generally, How can you be sure...

Aug2411 12:30 AM
Citan Uzuki

3 
2,206 
Hi guys I have a question.
What are the physics involved in roulette?
I know you have these:
Spin or momentum of...

Aug2311 05:53 PM
Darrenmackenz

2 
2,187 
I'm working on an exam that Michael Artin once gave, where one of the questions is basically,
Consider the...

Aug2311 02:12 PM
murmillo

6 
3,112 
Let H be a subgroup of a group G. Suppose that if a,b belong to G and there is an x in G such that axa^{1}=b implies...

Aug2311 01:58 PM
daveyp225

0 
1,026 
What is positive and negative eigenspaces? Can you recommend me a referance to know them?

Aug2311 01:18 PM
quasar987

2 
2,033 
Suppose that there is an integer n>1, such that an=a for all elements of some ring. If m is a positive integer and...

Aug2311 12:43 PM
tinytim

1 
989 
I found in page 225 of this article
http://www.dm.unito.it/~cerruti/ac/schoofcounting.pdf
that the endomorphism...

Aug2311 09:13 AM
yavanna

0 
1,707 
Hey, this is my first post, so... Hello everybody!
I've been looking into the Collatz conjecture, and like most...

Aug2211 05:13 PM
prdgi

2 
2,862 
I have a quick question regarding matrix equations. Usually, I would look this up but unfortunately I'm away from the...

Aug2211 09:46 AM
micromass

8 
1,271 
Hello,
while dealing with nonhomogeneous equations with constant coefficients I met a following problem. I need an...

Aug2211 09:04 AM
jambaugh

4 
2,072 
In one of my tutorial problems, I was asked to verify if the following function
is a valid inner product
<x,y>=...

Aug2111 03:58 PM
HallsofIvy

5 
2,535 