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Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
micromass
1 36,186
Could you provide a link to a 'number system with an irrational base'? I only found this link...
Mar17-12 03:35 PM
BenVitale
6 5,291
Hi, I need to write a code to convert a symmetic matrix into tridiagonal form and am planning to use the...
Mar24-12 12:41 PM
Hassan2
13 3,019
In the Preliminaries to Grove and Benson "Finite Reflection Groups' On page 1 (see attachment) we find the following:...
Mar16-12 09:47 PM
Math Amateur
4 1,587
Sorry for thumb terminology, I just would like to grasp the main idea, as a physicist, without unnecessary...
Mar17-12 08:25 PM
mclaudt
3 1,923
Do there exist numbers which are not ultimately functions of the integers? Would they necessarily be transcendental...
Mar18-12 01:17 AM
SteveL27
12 2,474
Let n=79 phi is Euler totient Can you find a number k such as : phi(k)=0 mod 79 phi(k+1)=0 mod 79...
Mar17-12 08:15 PM
Gaussianheart
2 2,025
Here is an algorithm very simple to find a common factor to a and b. An example : a=867 b=1989 1. We compute...
Mar18-12 07:38 PM
Gaussianheart
20 3,031
I have these questions on my studyguide and I know both of them are false. I just don't have a good counterexample or...
Mar17-12 04:38 PM
Alesak
5 1,343
if {x1 , x2 , .....xi} and {y1,y2,.....yi} are finite sets. are two sets of real numbers. Then sum Ʃ xixj...
Mar16-12 11:55 AM
sparsh12
2 1,640
Hi all, I am trying to find the probability that a matrix has full rank. Consider a K*N matrix where the first...
Mar16-12 12:30 AM
anu914
0 1,069
Hi: I`m new here, can someone tell me which is the difference between the transition matrix and the Jacobian?, I...
Mar17-12 02:59 PM
lavinia
3 1,508
Hey, i've been trying to find a better fit for a correlation, the numbers i'm dealing with are really small and when...
Mar21-12 11:27 AM
Stephen Tashi
1 1,909
I am reading Dummit and Foote on Representation Theory CH 18 I am struggling with the following text on page 843 -...
Mar16-12 08:46 AM
lavinia
8 1,764
If F is a field of characteristic p, with prime subfield K = GF(p) and u in F is a root of f(x) (over K), then u^p is...
Mar17-12 12:34 PM
Hurkyl
3 1,208
I change the question completely. If i get an answer for this, my question would be resolved. Everyone is obsessive...
Mar16-12 03:17 PM
Robert1986
2 1,624
Hello Everyone :) I have been facing a little difficulty when encountering such kind of problems . i have also...
Mar19-12 07:56 PM
ajkoer
8 1,224
Hey, I have a small question about groups, If you have a comunitative 'group' H = <a in H : a2=1>, Is that...
Mar18-12 04:16 AM
Alesak
4 960
How do I show that for any vectors u,v, and w in a vector space V, the set of the vectors {u-v, v-w, w-u} is a...
Mar19-12 11:39 AM
HallsofIvy
6 2,991
I need to prove that a be a odd integer that congruence X^2\equiva mod 2 is always solvable with exactly one...
Mar17-12 11:13 PM
Office_Shredder
1 1,632
Q. Given that A is invertible , check whether A + A^(-1) is invertible or not ? A. A is invertible . => A^-1 exists...
Mar21-12 08:03 AM
vish_maths
13 1,728
Hi, I m refering 'Linear Algebra and its applications by Gilbert Starng". I read (ch.3.1)"Matrix transforms every...
Mar18-12 02:04 PM
kthurst
0 916
Hello I have this Hamiltonian: \mathcal{H} = \alpha S_{+} + \alpha^{*}S_{-} + \beta S_{z} with \alpha,...
Mar19-12 09:08 AM
Joschua_S
0 1,259
Hi i found a question in number theory, involving two equations, it goes as follows: Let p1, p2, p3 and p4 be 4...
Mar19-12 06:11 PM
Norwegian
1 2,285
I think I found a procedure (other than the extended Euclidean algorithm) to compute the multiplicative inverse of a...
Mar20-12 05:20 AM
dodo
0 1,403
Hi everyone, I always have trouble on decomposing number into irreducible factors inside Gaussian integer field. I...
Mar21-12 05:50 AM
Norwegian
3 1,092
This is dealing with computer vision, but the only part I'm having trouble understanding is a step in the matrix math....
Mar23-12 01:33 AM
Stephen Tashi
6 1,480
I got one example on my notes about PID and maximal ideal. I feel it is a strange example as it doesn't make sense to...
Mar21-12 10:12 AM
mathwonk
2 1,399
Firstly, I am not sure if I am in the right section. Pardon me. I was reading something related to computational...
Mar22-12 07:57 AM
rukawakaede
9 3,065
We learned the GSP yesterday in class, but my teacher said something that seems to conflict with the textbook. He...
Mar21-12 10:06 AM
mathwonk
1 907
I have some questions about spanning sets 1. Why does empty set spans the zero subspace? 2. Why is this true:...
Mar21-12 10:41 AM
mathwonk
5 976
Hi, I know next to nothing about abstract algebra (had one intro-class years ago), so sorry if this is a dumb...
Mar22-12 03:10 PM
mathwonk
5 1,304
I am readin Belinte's book about Lie algebras (I have also the Cahn) . And I try to understand this. He writes ...
Mar23-12 11:38 AM
naima
2 874
Some algorithms of finding the eigenvalues of symmetric matrices first transform the matrix to a tridiagonal matrix...
Mar22-12 08:07 PM
Hassan2
2 1,559
Hi, I am told to give the subgroup H=<α,β> with α,β\inS3 α = (1 2) β = (2 3) So I know that H={αkβj|j,k\in(the...
Mar22-12 10:44 PM
HallsofIvy
1 1,709
Say i have the following function: f(x)= {-45 , x<0.5 45 , x≥0.5} where x\in R is a real variable in ....
Mar23-12 12:20 AM
chuy52506
3 1,969
When we talk about an abstract binary operation *:SxS --> S We say that an identity element "e" exists when e * x =...
Mar23-12 11:42 AM
dijkarte
2 974
I did these years ago. I remember that there used to be an order, that if you followed, you always got the answer. ...
Mar23-12 01:26 PM
tony873004
0 811
Is it true that SO(3) has no complex 2-dimensional representation (except the trivial one...)? How to see this? If it...
Mar24-12 06:40 PM
quasar987
2 1,151
Let a, b, and c be elements of group <G, *>, then Can we apply cancellation law here: a*b = c*a??? I could prove...
Mar24-12 11:22 PM
dijkarte
8 1,631
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...
Mar25-12 08:34 PM
HallsofIvy
1 1,583

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