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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
1 35,179
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 2,330
My textbook says that... If M is a left R-module, then a submodule N of an additive subgoup N of M closed...
Jan15-13 09:33 PM
3 788
Hello, I have a simple(or not?) math problem: I have equations of 3 lines in R3 trought the origin: line l1: ...
Jan1-13 08:12 PM
5 1,368
The logic that odd composite with least difference will be factored easily and large difference would factored hardly...
Jan1-13 09:30 AM
4 1,612
I'm trying to understand the derivation of polynomial regression. Given data points: . So a 2nd degree curve will...
Jan8-13 02:58 PM
10 1,231
Theorem : if S ={ v1 , .... , vn} spans the V.Space V , L={w1 , .... , wm} is set of linear independent vectors...
Jan1-13 07:55 PM
10 1,527
Suppose that a = aBc where a and c are vectors and B is some matrix that changes as time "continuously" goes on -...
Dec31-12 04:20 AM
0 798
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 11:01 AM
7 2,175
Hello everyone, I found that you're actively discussing math problems here and thought to share my problem with...
Jan1-13 03:33 AM
0 981
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
11 2,312
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...
Jan2-13 11:59 PM
2 906
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
3 750
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
9 1,593
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
4 981
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
2 908
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
6 822
Hi I am going through Sheldon Axler - Linear Algebra Done right. The book States the Complex Spectral Theorem as :...
Jan7-13 11:38 AM
4 1,106
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
4 838
I have no idea what this is! Please can someone explain comparing to a 3x3 matrix?
Jan6-13 05:19 PM
3 1,063
No not the trival solution but generally GCD(x,y) = 1 when GCD(A,B)=1 x =...
Jan7-13 12:40 AM
0 999
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
0 558
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
1 826
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
5 1,206
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 1,960
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
0 613
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
4 1,368
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
0 908
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
3 1,088
In this video: At the time 2:10, I don't understand why we have to...
Jan14-13 07:15 AM
4 1,079
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
2 978
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
4 1,265
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
5 1,256
Perhaps forum members can advance science by solving this optimization problem from The Protein Engineer ...
Jan13-13 04:10 PM
2 845
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
1 1,057
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
1 964
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
1 955
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
3 1,065
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
6 1,352
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
6 1,581
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
0 670

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