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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 35,127
I'm trying to understand the category theoretic proof of free groups. I know a bit of group theory but little...
Mar20-14 04:44 AM
James MC
0 469
Am i correct if I say that Fiedler number surges when percolation is at percolation threshold? Assume a randomly...
Mar8-13 10:44 AM
0 470
Dear All: For a line structure(say a very long atomic chain) and a closed loop structure( connect the head and tail...
Oct31-13 10:59 PM
0 470
I imagine a matrix group, with multiplication as the composition rule, to always possess the quality of having centre...
Feb20-14 01:57 PM
3 470
How I do for calculate the solid angle formed by 3 vectors like: ?
Feb18-14 11:15 AM
2 471
Hi Guys, I have just started studying about this field. Can you give me some ideas about some best eigen value...
Jun22-13 08:50 PM
1 473
Hi everyone, I have a square matrix J \in \mathbb{C}^{2n \times 2n}...
Feb27-14 11:57 AM
0 473
okay so i'm having some conceptual difficulty given some vector space V (assume finite dimension if needed) ...
Apr9-14 08:07 AM
6 475
Is it? Personally, I think it is since the max power on any unknown is 1, no trig function, no product of unknowns...
Oct12-12 02:20 PM
1 476
Is there an expression, in general, for the product of two matrix exponentials, for non-commuting matrices? i.e....
Apr1-14 12:36 PM
1 477
Given the following: $$\\ \begin{bmatrix} A & 0\\ 0 & B\\ \end{bmatrix}$$ the eigenvalues is exactaly A and B. So...
May20-14 08:43 PM
5 477
Hi, all: Say we have a bare-bones Vector Space v, i.e., V has only the basic vector space layout; no...
Apr27-11 04:47 PM
1 478
Hi there. I would like to learn more, if any, on interesting applications of Euclidean rings both in mathematics,...
Jun23-13 04:33 PM
0 478
If the group G/ is abelian then how do we show that xyx^{-1}y^{-1}=1? Thanx
May26-14 03:09 AM
3 478
If I have two square nonnegative primitive matrices where the Perron-Frobenius Theorem applies how would I calculate...
Jul4-13 09:01 PM
Simon Bridge
2 480
I have been trying to implement this Wave equation into java: A = amplitude of wave L = wave length w...
Feb3-14 06:09 AM
1 480
I'd like to figure out why f(x) = x^n - r e^{i \theta} = \prod_{j = 0}^{n - 1} ( x - r^{1/n} e^{i \theta / n} e^{2...
Feb9-14 03:33 PM
2 480
I am trying to understand Galois Theory and reading through various theorems and lemmas, some of which are still...
May14-14 10:52 PM
2 480
If I have (α1,β1,γ1) and (α2,β2,γ2) as two set of rotation angles in radians.Where α is Yaw of α about z axis, β is...
May15-14 07:09 PM
4 480
The two properties every linear transformation T: V -> W has to satisfy is T(u + v) = T(u) + T(v), for u,v in V (i)...
Feb17-14 04:01 PM
4 482
Hi, All: I have seen Orthogonal groups defined in relation to a pair (V,q) , where V is a vector space , and q...
Jun10-11 09:11 PM
0 483
Here it is for those interested.
May28-13 08:47 AM
0 483
I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and...
Oct30-13 11:54 PM
Math Amateur
2 483
There are lots of examples of numbers where "is it a rational number" has been an open question for a while before...
Jun21-13 01:54 PM
0 484
is it true that \frac{1}{g_{ab}}=g^{ba}? I am a bit confused by the index notation. I especially wonder about the...
Apr6-14 06:12 PM
3 484
Let L: R3 -> R3 be L(x)= \begin{pmatrix} x1+x2\\ x1-x2\\ 3x1+2x2 \end{pmatrix}
May20-14 03:11 AM
6 484
... I think I've misunderstood their definition of an invariant. The pth power of the trace function seems to...
Nov25-11 04:06 AM
0 485
Hi, I have found an encryption algorithm named ECKS-PS (published in a paper named 'efficient conjunctive keyword...
Apr10-13 03:13 AM
0 486
The Fourier series can be used to represent an arbitrary function within the interval from - π to + π even though...
Jun28-13 03:39 PM
1 486
Is it possible for a variable to exit the basis and after a couple of iterations, enter it again? Are there any...
Jun9-11 09:31 AM
0 489
I am reading Dummit and Foote Ch 15, Commutative Rings and Algebraic Geometry. In Section 15.1 Noetherian Rings and...
Oct30-13 10:52 PM
Math Amateur
2 490
Hello, I was "playing around" with the S_{3} Young Tableaux, and trying to calculate the Young Operators for them......
Dec13-13 01:33 PM
0 490
I know it should be absolute zero, but in a scientific calculator, which is an app actually, its value is shown...
Jul21-14 05:34 AM
3 490
I'm trying to understand in an applied sense what could a change of basis based on a transformation matrix consisting...
Dec7-13 09:06 AM
0 492
Hi, let G be any group . Is there a way of embedding G in some other group H so that G is normal in H, _other_ than...
Apr25-14 06:10 PM
1 492
The linear combinations of V = (1,1,0) and W = (0,1,1) fill a plane. My question is how do i describe that plane?...
May25-14 08:28 PM
3 492
given the scalar product (Uf | Uf) = (e^{t}f |e^{t} f) with U=exp(tA) for an operator A , what condition...
Apr17-11 04:52 AM
0 493
Do you know any example of matrix which is not symmetric and has real eigenvalues?
Apr24-14 03:20 AM
1 493
Dear All: For a line structure(say a very long atomic chain) and a closed loop structure( connect the head and tail...
Nov1-13 08:30 AM
4 494
Can someone tell me why Sum from j=1 to 3 of y_j*(x'_j , x'_k) = (f , x_k) for 1<=k<=3 where (x1,x2) is the...
Mar28-13 06:18 PM
0 495

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