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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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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 30,480
Hi, I'm pretty rusty with solving linear equations, my equations are: ai = bijkcjk i = 1,... n j, k = 1,......
Jul22-11 12:01 PM
Ben Niehoff
6 2,157
I do not know if this is a common/standard construction, so here is my motivation for this question. From Crystal...
Jul21-11 09:06 AM
2 1,656
Why is the transpose of a matrix important? To find the inverse by cofactors we need the transpose but I would never...
Jul21-11 08:45 AM
2 1,291
I am a physicist, so my apologies if haven't framed the question in the proper mathematical sense. Matrices are...
Jul21-11 06:17 AM
5 1,435
I have observed a strange thing when you modify a sequence of numbers bit by bit.
Jul20-11 07:08 PM
2 2,512
I'm looking for the title to a popular introductory book on graph theory. For the best possible recommendation,...
Jul20-11 12:02 PM
3 1,693
Hi, I need help with simply starting to prove this. I'm terrible with proofs and even the easy ones are hard for me....
Jul19-11 07:01 PM
1 2,708
Is there an "easy" method to finding subgroups of finitely generated abelian groups using the First Isomorphism...
Jul19-11 12:16 PM
1 1,227
For a dimension 1 regular semi-local ring, does the Picard group vanish? What if it is not regular? (and what if I...
Jul19-11 09:40 AM
2 1,342
Why is it not possible for a filed to have have two prime fileds one isomorphic to Zp and the other isomorphic to Zq ...
Jul19-11 03:11 AM
1 795
Lemma. A group G of order 6 can have only one element of order 3. Pf. Suppose G has two elements of order 3. Call...
Jul18-11 08:22 PM
12 977
I am trying to ultimately find the projector onto a convex set defined in a non-explicit way, for a seismic processing...
Jul18-11 02:02 PM
2 766
Ok, so the title didn't allow me to be too descriptive. Basically, I'm trying to formulate a variant of the time...
Jul18-11 10:05 AM
1 2,077
Hey all, I was hoping someone could explain to me how to calculate the angle between matrices, ie. two square...
Jul17-11 08:36 AM
4 3,820
I recently got interested in number theory and have been fiddling around with Scilab trying to find interesting...
Jul17-11 02:37 AM
8 4,746
So if G = Q8 = <a, b : a^4 = 1, b^2 = a^2, b^{-1}ab = a^{-1}> I'm fine with the notion of the derived subgroup G' =...
Jul16-11 07:53 PM
1 1,751
Hello, I'm wondering if there's some nice formula for the expansion of trinomials, like this: \prod_i \left(y +...
Jul15-11 07:04 PM
2 1,862
I have a matrix of the form X = , where A and B are matrices of equal dimensions (M x N). I am looking for an elegant...
Jul15-11 05:32 PM
11 2,326
Hello. I'm quoting Bertsimas, D., and J. Tsitsiklis, Introduction to Linear Optimization: "For the purposes of this...
Jul14-11 05:46 PM
0 1,191
I'm trying to learn linear algebra using Schaum's outline and this is one of the practice problems: Find and...
Jul13-11 02:19 PM
3 1,301
Hi, Quick question here: I know that C-S inequality in general states that |<x,y>| \leq \sqrt{<x,x>} \cdot...
Jul13-11 07:57 AM
8 1,718
I know you can decompose GL(3,R) into SO(3) x Diag x SO(3), but i was wondering if you could generalise this to a set...
Jul13-11 07:09 AM
0 1,007
I am trying to take the derivative of an inner product (in the most general sense over L^2), and was curious if...
Jul13-11 06:17 AM
1 2,763
Hi there. We know that Convolve = f if g = diracdelta. My question is, what should be g so that Convolve = f where...
Jul13-11 05:23 AM
2 1,165
Hello all, I'm really sorry that this may come across as a ridiculously simple question, but I'm taking a linear...
Jul13-11 05:11 AM
8 1,996
This is from "Prime factorization of integral Cayley numbers" by H.P. Rehm ...
Jul12-11 07:28 PM
0 792
Hi, I already posted this in solid state physics forum, but no one answered, so I guess this topic might belong to...
Jul12-11 01:37 PM
0 645
I have attatched my Paradox for the existence of 4,5 and 7 using Brocard's problem . I don't know where i have gone...
Jul12-11 03:31 AM
3 2,462
max (|| Ax||)/(||x||) , where x is not 0. A is a matrix. It said that the stationary point are the right...
Jul11-11 08:09 AM
0 729
helloo while working on a combinatorics problem I have found the following result: let A=(a_{ij})_{1\leq...
Jul10-11 07:54 AM
3 1,541
Hi everyone!! I can't figure out why electromagnetism is defined a non integrable phase factor (or path dependent),...
Jul9-11 01:57 PM
0 909
I've been enormously impressed with the core members of this forum, especially hurkyl. There was a guy who claimed to...
Jul8-11 07:13 PM
20 4,882
Here is a visual prime pattern: I have developed one of my own based...
Jul8-11 03:56 PM
112 25,325
Where did the binomial theorem come from.....???
Jul8-11 12:28 AM
6 1,904
I'm working my way through Shaum's Outline on linear algebra and in it they define a complex number as an ordered pair...
Jul7-11 02:58 PM
3 1,484
Hi, While trying to solve an optimization problem for a MIMO linear precoder, I have encountered the need to...
Jul7-11 12:40 PM
1 1,788
Hello, I am unable to grasp the significance of adjoint operators both in linear vector space as well as function...
Jul7-11 08:11 AM
8 2,753
I got this question from another forum and it's driving me crazy. Find all triples of odd primes, p,q,r such that ...
Jul6-11 10:26 PM
2 2,317
Hi all, I've developed a new sieving method that I believe provides a tight lower bound for the counting of certain...
Jul6-11 07:19 PM
3 3,145
Does anyone know the answer to this problem: if you have a set of consecutive prime numbers (2,3,5,7...), what is the...
Jul6-11 07:18 PM
5 3,047

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