Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
 Meta Thread / Thread Starter Last Post Replies Views 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 30,424 Hi, I'm learning about vector spaces and I would like to ask some questions about it. Suppose I have a vector space... Jan25-13 04:57 PM lavinia 5 921 Hello, :) I would like to minimize and find the zeros of the function F(S,P)=trace(S-SP’(A+ PSP’)^-1PS) in respect... Jan25-13 06:04 AM GoodSpirit 3 797 hey guys so i am well familiar with finding out rank of square matrices but if matrix is just a row or column vector... Jan24-13 01:21 PM shivaniits 9 953 a = xyz b = xy+xz+yz c = x + y + z How do you solve x, y, and z? Jan23-13 04:46 PM mfb 3 868 In the book it states that the span of the empty set is the trivial set because a linear combination of no vectors is... Jan23-13 07:24 AM HallsofIvy 3 959 The question is which sets of natural numbers are closed under addition. I know that odd is not, and I know how to... Jan23-13 03:23 AM lurflurf 2 831 Hi all. I have a question about the properties of the generators of the SO(N) group. What kind of commutation... Jan22-13 01:44 AM Einj 3 865 From my textbook: A free R-module is "A left R-module F is called a free left R-module if F is isomorphic to a... Jan21-13 02:51 AM algebrat 1 977 Hi all, I searched all other threads but was unable to find something useful. Here is my question: I am looking... Jan20-13 03:06 PM Wrukproek 0 611 Prove the Generalized Associative Law for Groups (i.e. a finite sum of elements can be bracketed in any way). The... Jan20-13 12:55 PM Fredrik 6 1,334 A Theorem in our textbook says... If R is a PID, then every finitely generated torision R-module M is a direct sum... Jan18-13 03:00 PM mathwonk 1 888 Dear Friends & Colleagues, I have a couple of nagging issues with mathematics I was hoping any one of you would... Jan18-13 10:42 AM Stephen Tashi 5 2,173 Following is a list of 39 Mersenne numbers. Some are prime and some are not. These are generated with x =(... Jan17-13 08:06 AM arydberg 6 1,215 hey guys given Ax=B where A is a square matrix and x and B are vectors, can anyone tell me why a singular matrix... Jan16-13 08:38 PM joshmccraney 3 971 I was thinking about the following proposition that I think should be true, but I can't pove: Suppose that F is a... Jan16-13 05:59 AM lavinia 2 915 Hi, For any odd composite 'N', let u = (N-1)/2, v = u+1, then u^2(mod p) = v^2(mod p) if and only if 'p' is a... Jan16-13 02:49 AM dodo 1 883 My textbook says that... If M is a left R-module, then a submodule N of M...is an additive subgoup N of M closed... Jan15-13 09:33 PM mathwonk 3 724 I'm unable to understand this generalization of vectors from a quality having a magnitude and direction, to the more... Jan14-13 10:29 AM danzibr 4 1,264 In this video: http://www.youtube.com/watch?v=FZz-Q-KBlpE At the time 2:10, I don't understand why we have to... Jan14-13 07:15 AM Artusartos 4 1,006 Perhaps forum members can advance science by solving this optimization problem from The Protein Engineer ... Jan13-13 04:10 PM homeomorphic 2 781 I don't know if this is the correct section to post this, but does Galois theory has any applications in physics? Jan13-13 03:47 AM Jim Kata 2 1,758 Pretty much what the title says. Suppose we have a topological vector space $(X,\tau)$ and $U\subseteq X$ is... Jan12-13 09:32 AM danzibr 5 1,128 Hi all, I have been asked the question by a friend of mine who was working on a computer algorithm where he needed... Jan11-13 03:01 PM HallsofIvy 4 1,164 Hello all, I am new to this forum but am glad I found it, I have a quick question about condition numbers and order... Jan10-13 06:08 PM AlephZero 5 1,081 Hello, I was wondering if this problem is one that is solvable, and if so, if I would be able to solve it in a... Jan9-13 11:31 PM hello95 3 1,005 Hey guys, lurked here a bit, but now I'm in this new math course right. So anyway it seems like a completely new... Jan9-13 06:59 PM sniper_spike 4 796 Hi guys, first post! I'm doing some side work on coupled oscillating systems, and I've almost found a procedure to... Jan9-13 03:39 PM Jack Jenkins 0 816 Hi, Let the linear system Ax=b. I am looking for literature describing how changes on coefficients matrix A affect... Jan8-13 05:01 PM yiorgos 0 574 I'm trying to understand the derivation of polynomial regression. Given data points: . So a 2nd degree curve will... Jan8-13 02:58 PM SteamKing 10 1,140 I have a question about the proof that I attached... 1) Since R/I is not the zero ring, we know that 1 \not= 0.... Jan7-13 09:01 PM Number Nine 1 776 I recently got (re)interested in C* algebras. Poking around, I gathered that there is some way of constructing a C*... Jan7-13 12:17 PM marcus 0 519 Hi I am going through Sheldon Axler - Linear Algebra Done right. The book States the Complex Spectral Theorem as :... Jan7-13 11:38 AM vish_maths 4 1,022 No not the trival solution but generally GCD(x,y) = 1 when GCD(A,B)=1 x =... Jan7-13 12:40 AM ramsey2879 0 952 Hello everyone! I'm a 1st grade student in a slovenian high school. Recently, I've became very intrested in numbers... Jan6-13 09:22 PM oay 11 2,162 I have some technical questions about spans and bases which my textbook really does not cover very well. I would... Jan6-13 06:16 PM AlephZero 2 836 I have no idea what this is! Please can someone explain comparing to a 3x3 matrix? Jan6-13 05:19 PM mfb 3 848 Hello all, I have a question: assume in matrix M(n*n), each element M(i,j) of matrix is computed as M(i&)*M(&j) /... Jan6-13 01:06 PM sanaz 4 914 I am a bit confused about the page that I attached... I don't understand part (ii)... How can you compute XX? So... Jan6-13 12:07 AM Artusartos 6 756 Why do we have x-axis perpendicular to y-axis? Why not 45° or something else? Even if we keep any other angle other... Jan5-13 12:16 PM Studiot 9 1,432 I'm trying to compute the complexity of the quadratic program: \displaystyle\min_{\mathbf{X}} (\mathbf{X^TQX +C^TX})... Jan3-13 08:41 PM lavinia 3 692