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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 34,285
Hi I want to find inverse of singular matrix...... Is there any method to find it??? Please help me out..... ...
Jan18-12 06:24 AM
6 10,622
Here is a good question for maths enthusiasts. I really find this sum very tough. Any help, advice or guidance for...
Jan15-12 08:31 AM
2 2,125
Does exist general formula for nth term in sequence if I have generative function? In my case, generative function...
Jan13-12 01:41 AM
6 2,381
Happy new year from France. I am reading books on elementary particle and i see that their gauge bosons may be...
Jan15-12 11:24 AM
3 1,605
Can you please give an example for a finite group with a three dimensional pseudo real representation? I can find...
Jan13-12 07:14 AM
4 1,805
If I were to solve a system of multiple equations in the form αx+βy+ζz=p_{1} Where α,β,ζ are constants x,y,z are...
Jan18-12 01:40 PM
20 2,753
Hello I'm trying to show that the following upper bound on the matrix 2-norm is true: ...
Jan12-12 06:31 AM
3 2,096
So I need to calculate the square root of the covariance matrix \sqrt{\Sigma_tR\Sigma_t} (the matrix square root, not...
Jan11-12 12:43 PM
Stephen Tashi
2 1,791
Throughout this post, I consider "R-module" and "representation of R" to be the same. Similarly, I consider...
Jan14-12 10:07 AM
gauss mouse
2 1,440
Recently I was assigned to implement a procedure involving "3D projections" to "2D space". Supposing that 3D data is...
Jan11-12 03:38 AM
4 2,564
I'm preparing for a qualifying exam and this problem came up on a previous qual: Let A and B be nxn matrices. Show...
Jan11-12 04:07 PM
5 2,513
how does one evaluate the direct product between a group G with components that are say 2-tuple and a group H with...
Jan11-12 09:22 AM
2 1,110
Hi all, If Zp is the ring of p-adic integers, what does the notation a = b (mod pZp) mean ? I understand congruence...
Jan13-12 05:39 PM
4 1,793
I'm working with universal enveloping algebras, specifically U(sl(2)). Does anybody know of a nice way of determining...
Jan13-12 02:39 PM
1 947
What is the operator inside the Connes' approach to RH ??, he gave a trace but never says what operator is or gives or...
Jan12-12 08:29 AM
0 1,196
My apologies if this is in the wrong section.... I wasn't quite sure where to put it. If we have the "Hessian of a...
Jan12-12 10:49 AM
0 882
Prove that (n!)! is divisible by (n!)^(n-1)!
Jan12-12 11:42 AM
2 1,138
Hi, Last day I learned about matrix equations like this: AX = C A1AX = A1C IX = A1C X = A1C The...
Jan14-12 10:50 AM
3 1,674
In the field of rationals \mathbb{Z}_{(p)} (rationals in the ring of the p-adic integers), how is it possible to prove...
Jan15-12 11:35 AM
6 1,990
Hi all. I'm working in the set that is formed by extending the integers mod p (p is prime and equal to 3 mod 4) by...
Jan13-12 05:36 PM
2 1,624
Hi, All: I was hoping someone would know a source for the Post-office, say POP problem, n>2. For n=2, POP asks,...
Jan16-12 05:52 AM
2 1,144
greetings . i cam across this problem in a research paper i'm writing . x_1+x_2+.....+x_m=k_1 ...
Jan23-12 02:03 AM
Stephen Tashi
3 1,100
In their article Integrals in the theory of electron correlations, Annalen der Physik 7, 71] L.Onsager at el. write: ...
Jan19-12 01:00 PM
1 1,173
Hello all! I realize I am new to the community of online math forums, so I'm probably breaking a few etiquette...
Jan20-12 11:32 AM
6 2,223
How come the rank of a matrix is equal to the amount of pivot points in the reduced row echelon form? My book denotes...
Jan19-12 09:13 AM
14 1,367
Hi everyone, I need a lot help on how to find automorphisms on these particular Cayley graphs. I have three groups...
Jan17-12 09:33 PM
0 861
I am puzzled about this simple case, Suppose we have (A+B)T(A+B) <= (A+B1)T(A+B1), Can we say something about...
Jan20-12 11:01 AM
1 1,124
I am not here to ask a question directly out of the book, but rather I want someone to explain to me something about...
Jan19-12 11:43 PM
3 1,395
Assume some matrix M with m rows and n columns. Let C(M) denote the covariance matrix computed from M. With...
Jan19-12 04:01 PM
0 827
I know that \sum_{p\leq n}\frac{\log p}{p}=\log n + O(1), where p ranges over primes, can be proved using the Prime...
Jan20-12 11:59 PM
A. Bahat
2 2,631
Actually I am new to this topic. I read few tutorials about LU decomposition of matrix in the net. A = LU ; A -...
Jan20-12 12:14 AM
Muthuraj R
3 1,012
greetings . i have come to find that the average of the real parts of the nontrivial zeros of the zeta function is : ...
Jan20-12 05:34 AM
0 1,441
Apparently there is an isomorphism between the additive group (ℝ,+) of real numbers and the multiplicative group...
Jan20-12 01:04 PM
3 1,511
We're doing isomorphisms and I was just wondering, is the dihedral group D_{12} isomorphic to the group of even...
Jan20-12 02:44 PM
2 1,356
I am reading Dummit and Foote Chapter 7. D&F use a quadratic field as an example of a ring. I am trying to get a...
Jan21-12 03:33 AM
Math Amateur
7 1,240
Can anyone help me with the following exercise from Dummit and Foote? ...
Jan20-12 08:27 PM
Math Amateur
3 1,554
Hi, I keep seeing indirect uses of a result which I think would be stated as follows: If a module M over the...
Jan21-12 07:49 PM
4 1,455
I am reading James and Liebeck's book on Representations and Characters of Groups. Exercise 1 of Chapter 3 reads as...
Jan21-12 08:59 PM
Math Amateur
2 1,379
Using Orthogonal complements, hodge duals and some pattern matching, I derived this formula: \begin{array}{l} m...
Jan21-12 08:30 PM
0 752
Suppose you weren't allowed to switch rows, would it then always be possible to turn a regular matrix into the unit...
Jan22-12 05:51 PM
1 1,032

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