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

Feb2313 09:24 AM
micromass

1 
35,147 
\frac{0}{0}
Is it 0 or undefined? I thought this was interesting, it seems a paradox in its own.

Mar3112 11:25 AM
NanoPassion

65 
12,231 
If A = {(x,y) : x³ = y² = e, yx = xˉ¹y} and B = {(u,v) : u^4 = v² = e, vu = uˉ¹v}, how do I go about finding the...

Mar2812 12:02 AM
DonAntonio

1 
2,234 
true or false ..
The system {S,+,.} with S = { matrix (a,b,ab,a)a,b ∊ R)
is not a field under matrix addition (+)...

Mar2812 07:39 AM
dodo

1 
739 
I asked this question on one another forum but didn't get any answer .
Consider the following array of natural...

Mar2712 11:02 AM
ramsey2879

7 
2,369 
Given n by n matrices A, B, C. I know how to solve the Sylvester equation
AX + XB + C = 0
using the matlab...

Mar2612 03:24 AM
chiro

3 
1,574 
hello :)
I was trying to prove the following result :
for a linear mapping L: V > W
dimension of a domain V =...

Mar2712 06:29 AM
vish_maths

5 
1,179 
Hi, All:
I have been tutoring linear algebra, and my student does not seem to be able
to understand a...

Mar2512 09:51 PM
Bacle2

5 
1,062 
I'm completely lost on this one. I need this to be able to solve that the square root of three is irrational. So it's...

Mar2612 04:55 PM
20Tauri

4 
1,928 
Hello,
it's been a while since i did linear algebra. i need some help. I have this matrix:
1 1 0
0 1 0
0 0...

Mar2512 08:34 PM
HallsofIvy

1 
1,512 
Would like to see a proof for the following question.
Let p be a prime number. Define a set interesting if it has...

Mar2912 07:59 AM
epsi00

5 
1,951 
Hi Everyone,
I am kind of looking some online text to understand Lie Algebra, Group Theory and so forth.
I usually...

Mar2712 08:39 PM
chiro

9 
1,717 
Suppose a (n x 3) matrix B is given, n>3. Also, suppose a matrix (3 x 3) matrix C is given, whose columns correspond...

Mar2612 02:58 AM
chiro

1 
984 
I'm reading some notes concerning Sylow subgroups of S4:
Since #S4 = 24 = 3 . 2^3 from Sylow's Theorems we know...

Mar2912 05:50 AM
will8655

2 
1,431 
How the hell do you prove that the components of a vector w.r.t. a given basis are unique?
I have literally no idea...

Mar2612 01:38 PM
dodo

3 
906 
While studying groups,
Is there a common pattern/arrangement of the group elements represented in a table?
Is...

Mar2712 03:55 PM
Number Nine

9 
939 
Hi all,
I need to find the λ and the ai that solves the Generalized eigenvalue problem
{a}=λ2 {a}
with
=

Mar2812 06:39 PM
bcartolo

2 
1,739 
Well, I have solved this problem from a textbook:
Prove the Schwarz inequality.
When you try to solve it, you...

Mar2712 05:50 AM
dodo

1 
754 
This seems a simple question but I can't find the solution by myself. Please help.
Say we have a 2 by 2 matrix with...

Mar2712 06:06 AM
Hassan2

2 
2,780 
Well, first of all I'm not quite sure If I'm posting my question in the right section so forgive me if it's in the...

Mar3012 11:47 AM
mathwonk

6 
1,070 
He starts using the term 'reducible', as it came out of nowhere, from the page 162 of the text.
I know, roughly,...

Mar2712 04:49 PM
julypraise

2 
815 
In the book by Keith Devlin on the Millenium Problems  in Chapter 6 on the Birch and SwinnertonDyer Conjecture we...

Mar2812 08:28 PM
morphism

1 
1,097 
I intend to use the Gershgorin Circle Theorem for estimating the eigenvalues of a real symmetric (n x n) matrix....

Mar2812 02:48 AM
onako

0 
1,043 
i am having trouble with some hw problems in my linear algebra course... the book is brescher and the teacher is sort...

Mar2812 10:41 AM
marathon

3 
2,431 
I am reading Kane  Reflection Groups and Invariant Theory and need help with two of the properties of reflections...

Mar2812 08:19 PM
morphism

1 
927 
Find the dimension of the subspace of M2;2 consisting of all 2 by 2 matrices
whose diagonal entries are zero. ?
i...

Mar3112 08:21 PM
Cecilia48

8 
1,396 
B&F have the following:
\delta_{i j} = e'_i \cdot e'_j = a_{i k} \left( e_k \cdot e'_j \right) = a_{i k} a_{j k}
...

Mar2912 03:18 AM
Fredrik

2 
1,115 
In Dummit and Foote, a short exact sequence of Rmodules 0 \rightarrow A \rightarrow B \rightarrow C \rightarrow 0...

Mar2912 02:14 PM
jgens

2 
1,238 
There seem to be two definitions for a regular representation of a group, with respect to a field k. In particular,...

Mar2912 08:11 PM
Kreizhn

2 
1,025 
I am reading Kane's book on Reflections and Reflection Groups and am having difficulties with some basic geometric...

Mar3012 06:21 PM
Math Amateur

3 
887 
it is possible to evaluate sums over the set of Rational
so \sum_{q} f(q) with q= \frac{m}{n} and m and n are...

Mar3112 06:39 PM
A. Bahat

4 
1,724 
Lets say you want to quickly pick points in order to nail some wood together to build a wooden ship.
You can use...

Mar3012 07:07 PM
chiro

1 
854 
Hi guys,
Basically I'm playing around with modules at the moment, and I can't work out why we cant have the group...

Mar3012 04:34 PM
wizard147

6 
1,106 
To show that a nonabelian group G, has elements x,y,z such that xy = yz where y≠z,
Is it enough to simply state...

Mar3112 09:13 AM
Barre

5 
1,085 
Hey,
I'm just trying to grasp ordering of groups and subgroups a little better,
I get the basics of finding the...

Mar3112 12:59 PM
jgens

3 
1,473 
Let's say you have four points that define a rectangle in the xy plane centered at the origin (with the x,y axes...

Mar3112 10:34 PM
DukeLuke

2 
1,197 
This has been bugging me for a while. I'm pretty sure I'm correct but I'd just like to verify to put my mind at ease....

Apr112 09:39 PM
SteveL27

2 
967 
Hello.
A matrix has 5 columns.
One of the columns is all zeros.
Two of the columns have leading ones.
...

Apr112 09:01 PM
DonAntonio

1 
1,142 
Let G be a finite group, H and K subgroups of G such that G=HK. Show that there exists a pSylow subgroup P of G such...

Apr112 09:45 PM
moont14263

2 
1,120 
So the book asks me to sketch out these graphs, and of course there are no examples. I was wondering how this is done....

Apr212 04:10 AM
chiro

6 
1,880 
Is there a good reference on how to construct Cayley's graph of a group given a table/defining equations, and vice...

Apr212 10:28 AM
dijkarte

0 
779 