# Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
 Views: 8,395 Announcement: Two free ways to get Gold Membership! Jan17-12 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 10:24 AM micromass 1 29,803 Dear Friends & Colleagues, I have a couple of nagging issues with mathematics I was hoping any one of you would... Jan18-13 11:42 AM Stephen Tashi 5 2,096 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 10:33 PM mathwonk 3 700 Hey all, I have been playing around with a special type of matrix and am wondering if anyone knows of some literature... Dec31-12 12:21 AM orthogonal 4 1,155 Hello, I have a simple(or not?) math problem: I have equations of 3 lines in R3 trought the origin: line l1: ... Jan1-13 09:12 PM chiro 5 1,236 The logic that odd composite with least difference will be factored easily and large difference would factored hardly... Jan1-13 10:30 AM mfb 4 1,429 I'm trying to understand the derivation of polynomial regression. Given data points: . So a 2nd degree curve will... Jan8-13 03:58 PM SteamKing 10 1,120 Theorem : if S ={ v1 , .... , vn} spans the V.Space V , L={w1 , .... , wm} is set of linear independent vectors... Jan1-13 08:55 PM mathwonk 10 1,316 Suppose that a = aBc where a and c are vectors and B is some matrix that changes as time "continuously" goes on -... Dec31-12 05:20 AM dotiozeros 0 737 Consider an m x n table containing single digits 0 to 9. So each cell contain the digits 0 to 9. My goal is to make... Jan3-13 12:01 PM mfb 7 1,839 Hello everyone, I found that you're actively discussing math problems here and thought to share my problem with... Jan1-13 04:33 AM phd_student 0 768 Hello everyone! I'm a 1st grade student in a slovenian high school. Recently, I've became very intrested in numbers... Jan6-13 10:22 PM oay 11 2,079 Hi. Define a linear mapping F: M2-->M2 by F(X)=AX-XA for a matrix A, and find a basis for the nullspace and the... Jan3-13 12:59 AM nickthegreek 2 801 I'm trying to compute the complexity of the quadratic program: \displaystyle\min_{\mathbf{X}} (\mathbf{X^TQX +C^TX})... Jan3-13 09:41 PM lavinia 3 672 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 01:16 PM Studiot 9 1,360 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 02:06 PM sanaz 4 886 I have some technical questions about spans and bases which my textbook really does not cover very well. I would... Jan6-13 07:16 PM AlephZero 2 811 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 01:07 AM Artusartos 6 737 Hi I am going through Sheldon Axler - Linear Algebra Done right. The book States the Complex Spectral Theorem as :... Jan7-13 12:38 PM vish_maths 4 977 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 07:59 PM sniper_spike 4 781 I have no idea what this is! Please can someone explain comparing to a 3x3 matrix? Jan6-13 06:19 PM mfb 3 826 No not the trival solution but generally GCD(x,y) = 1 when GCD(A,B)=1 x =... Jan7-13 01:40 AM ramsey2879 0 929 I recently got (re)interested in C* algebras. Poking around, I gathered that there is some way of constructing a C*... Jan7-13 01:17 PM marcus 0 507 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 10:01 PM Number Nine 1 754 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 07:08 PM AlephZero 5 1,036 I don't know if this is the correct section to post this, but does Galois theory has any applications in physics? Jan13-13 04:47 AM Jim Kata 2 1,629 Hi, Let the linear system Ax=b. I am looking for literature describing how changes on coefficients matrix A affect... Jan8-13 06:01 PM yiorgos 0 567 I'm unable to understand this generalization of vectors from a quality having a magnitude and direction, to the more... Jan14-13 11:29 AM danzibr 4 1,183 Hi guys, first post! I'm doing some side work on coupled oscillating systems, and I've almost found a procedure to... Jan9-13 04:39 PM Jack Jenkins 0 783 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... Jan10-13 12:31 AM hello95 3 971 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 08:15 AM Artusartos 4 979 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 06:59 AM lavinia 2 890 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 04:01 PM HallsofIvy 4 1,126 Pretty much what the title says. Suppose we have a topological vector space $(X,\tau)$ and $U\subseteq X$ is... Jan12-13 10:32 AM danzibr 5 1,068 Perhaps forum members can advance science by solving this optimization problem from The Protein Engineer ... Jan13-13 05:10 PM homeomorphic 2 764 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 04:00 PM mathwonk 1 858 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 03:49 AM dodo 1 852 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 09:38 PM joshmccraney 3 943 Following is a list of 39 Mersenne numbers. Some are prime and some are not. These are generated with x =(... Jan17-13 09:06 AM arydberg 6 1,169 Prove the Generalized Associative Law for Groups (i.e. a finite sum of elements can be bracketed in any way). The... Jan20-13 01:55 PM Fredrik 6 1,262 Hi all, I searched all other threads but was unable to find something useful. Here is my question: I am looking... Jan20-13 04:06 PM Wrukproek 0 591