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

Feb2313 09:24 AM
micromass

1 
34,761 
What is positive and negative eigenspaces? Can you recommend me a referance to know them?

Aug2311 01:18 PM
quasar987

2 
1,988 
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 
979 
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 
1,691 
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 
2,809 
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 
1,240 
Hello,
while dealing with nonhomogeneous equations with constant coefficients I met a following problem. I need an...

Aug2211 09:04 AM
jambaugh

4 
2,027 
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 
2,505 
Rational numbers are those that can be represented as a/b.
It is simple (I think) to demonstrate that the series of...

Aug2111 01:59 PM
Bourbaki1123

124 
19,118 
Hi guys,
I just need to know if Goldbach's Conjecture has been demonstrated or not!
Thx! :D

Aug2111 05:04 AM
johnny_boy

38 
11,400 
In my lecture notes, the lecturer describes the column space of matrix A
as the vector space spanned by the columns...

Aug2011 05:58 PM
micromass

3 
1,230 
For discrete groups, we can easily find the decomposition of the direct product of irreducible representations with...

Aug2011 03:34 AM
Simon_Tyler

8 
2,796 
Some confusion here reviewing some algebra.
From what I remember, a homomorphism must be specified in order to...

Aug1911 08:01 PM
micromass

5 
2,491 
Hi, here's the problem:
for m = {{a, b}, {c, d}},
m \cdot m is suppose to = {{a^2 + b c, a b + b d}, {a c + c d,...

Aug1911 07:51 PM
nigels

6 
2,921 
I took an Intermediate Linear Algebra course all last year (two semesters worth) and we covered the CDT. My professor...

Aug1911 05:10 PM
Kindayr

3 
2,471 
If we want to caculate the projection of a single vector, v=(1,2) (which is an element of an R2 vector space called V)...

Aug1911 03:47 PM
JamesGoh

2 
1,347 
Dear Friends,
I'm would like know classic problems about parity property, in other hand, classic problems...

Aug1911 06:13 AM
nulll

2 
2,458 
Hello matrices masters,
If A and B are nxn square matrices, is there an identity for the determinant of the block...

Aug1911 04:56 AM
daveyp225

4 
1,858 
Just a small question, I think I may have missed this part out in our lectures or something. :
Suppose I have a...

Aug1811 02:55 PM
I like Serena

2 
1,298 
Sylow's theorem tells us that there is one 7Sylow subgroup and either one of seven 3Sylow subgroups. Call these...

Aug1811 12:14 PM
Samuelb88

2 
1,325 
I'm interested in analytic number theory and from what little I understand of it complex analysis will be more...

Aug1811 11:33 AM
mathwonk

2 
2,718 
Hi.
see the image.
In the integral there's no dx,dy,dz thing. Does this make any sense?
Isn't it errata?

Aug1811 01:09 AM
daveyp225

5 
1,468 
It is well known that the Harmonic Series diverges (1/1+1/2+1/3+1/4+...), but that the series converges. In the...

Aug1711 09:48 PM
micromass

3 
2,195 
My theorem is right. "Inside a regular inscribed hexagon, the radius of the circle IS equal to the sides of the...

Aug1711 11:08 AM
Vanadium 50

5 
1,379 
I'm trying to do something that requires solving an eigenvalue problem of the form
A_{imkl} c_m c_k c^*_l=\lambda c_i...

Aug1711 08:37 AM
Manchot

1 
1,386 
Hi everyone,
This is not a homework question.
Let B_1 and B_2 be orthonormal bases. Let M be the change of...

Aug1711 02:59 AM
CantorSet

0 
2,004 
Hi,
I understand the fact that grp theory textbooks defined Hom(G, H) as (g + h) u forms a group homomorphism. I...

Aug1711 02:20 AM
daveyp225

4 
2,070 
i am sorry guys, the last time i posted this problem it was completely different but this time if we
Let x12+x22=1 be...

Aug1611 03:39 PM
dodo

4 
5,164 
I'm not sure it's safe to post real theorems here.
Is it?

Aug1611 02:47 AM
D H

57 
6,444 
Let (N, s(n), 0) be a Peano space. That is, N=\{1,2,3,\dots \} is a set in which Peano arithmetic can be used.
We...

Aug1511 12:04 PM
Kindayr

4 
3,022 
In school I've always learned that tensor transformations took the form of:
\mathbf{Q'}=\mathbf{M} \times...

Aug1511 11:40 AM
aeson25

4 
2,397 
Hi ,
I was trying to understand why or where would the problem arise in the definition of the direct sum for the...

Aug1511 02:24 AM
Sumanta

1 
1,633 
Why the roots of Eq. x^2 + a*x + b = 0 and of Eq. x + a*Sqrt + b = 0 are not identically? How can I expand the second...

Aug1411 11:59 PM
crocque

2 
1,409 
To prove that : f : U_{s} (st) \rightarrow U(t) is an onto map.
Note that
Us(st)= {x \in U(st): x= 1 (mod s)}...

Aug1411 09:20 PM
daveyp225

5 
2,157 
The sequence is 1,2,3,4,5,8,7,16,9
I am absolutely stumped and cannot fathom the answer. Normally I can see the...

Aug1411 08:06 AM
agentredlum

1 
3,157 
let C0 be the set of continuous functions f : R > R. For n >= 1, let Cn denote theset of functions f : R > R such...

Aug1311 01:23 PM
Fredrik

4 
1,871 
Is there shortcut methods for the solution of simultaneous equations when the given matrix is of order 4 and above? A...

Aug1311 08:04 AM
gb7nash

4 
3,093 
Hi,
I have a problem that I'm a bit stuck on, and need some direction:
I need to find \forall_n within a...

Aug1311 03:35 AM
RamaWolf

15 
6,504 
I know that a set (let's call it V) of all functions which map (R > R) is a vector space under the usual...

Aug1311 12:46 AM
SteveL27

5 
2,399 
Can we describe describe n such that Z_n has exactly 12 invertible elements?
Thank you

Aug1311 12:24 AM
arthurhenry

13 
3,880 
Why is every matrix (complex) similar to its transpose?
I am looking at a typical jordan block and I see that the...

Aug1211 09:17 PM
arthurhenry

2 
3,160 