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Linear & Abstract Algebra

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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 30,515
Hi I have a problem I just can't seem to solve, even though the solution shouldn't be too hard Let G be a finite...
Oct18-09 04:15 PM
3 907
I have developed a prime counting function with no error; it returns the exact number of primes equal to or less than...
Oct18-09 10:43 AM
15 6,017
Hi, on my site i've published a pdf containing the prime numbers...
Oct18-09 07:20 AM
1 1,390
Hello, I'm studying linear algebra and wanted to know what is the difference between a "vector space" and a "vector...
Oct18-09 07:08 AM
7 983
Why is the characteristic of a finite field a prime number???!
Oct18-09 03:58 AM
8 11,174
Is there a way to prove generally that the Dihedral group and its corresponding Symmetric group of the same order are...
Oct17-09 09:37 AM
1 1,407
Can anyone give me an example of commutative but not associative two argument operation which has right and left...
Oct17-09 08:32 AM
0 762
The linear algebra course I'm taking just became very "wordy" and I am having a hard time dealing notions such as...
Oct17-09 06:28 AM
4 2,485
I'm just wondering if there is some sort of relationship between right coset and orbit of x. We just got to cosets,...
Oct17-09 04:48 AM
3 1,746
Hey guys, I was wondering how you would go about proving that the image of a transformation T, im(T), is invariant?...
Oct17-09 12:12 AM
8 1,283
Hi everyone :-) at it says that a Carmichael number is one which...
Oct15-09 06:24 PM
robert Ihnot
5 1,725
I saw in an application of Sylow's theorems, it said we have something like a group of order 28 = 2^2 x 7, so we have...
Oct15-09 04:46 PM
1 851
How much can a determinant tell you about the entries of a matrix? How much more if you know the size of the...
Oct15-09 03:37 PM
3 993
Prove that if A is an invertible matrix and AB = BC then B = C. I thought the way to approach it was to use A^-1 on...
Oct15-09 06:56 AM
1 6,860
The complexified Lie algebra of the Lorentz group can be written as a direct sum of two commuting complexified Lie...
Oct14-09 10:57 PM
1 977
to begin I am wondering if its even true that they are equal. As i lost the sheet with that on it. If that is not true...
Oct14-09 09:00 PM
1 3,207
Greetings PF, I would like to sketch the proof that Abel gave for the insolubility of the quintic. This is a...
Oct14-09 07:23 PM
2 1,753
Does anyone know where I can access past exam papers in the field of linear algebra. I am particularly looking for...
Oct14-09 08:49 AM
4 10,054
I am in a linear algebra and differential equations course and have recently been learning how to find a basis for a...
Oct14-09 06:52 AM
4 2,982
Hi all! I was working on some homework for the linear algebra section of my "Math Methods for Physicists" class and...
Oct14-09 03:00 AM
2 9,746
I'm having trouble understanding just what is the difference between the three types of maps: injective, surjective,...
Oct13-09 03:56 PM
Moo Of Doom
4 4,464
Looking for info on game theory
Oct12-09 01:49 AM
robert Ihnot
3 1,597
Hey guys, new to the forum but hoping you can help. How do you prove that vector spaces V and U have a linear...
Oct11-09 10:43 PM
6 3,247
I'm working on trying to figure this proof out but its proving to be quite difficult does anyone have any insight? ...
Oct11-09 02:30 PM
1 4,232
I was wondering if anyone could give me some hints on this Suppose A^k=0 for some integer k is greater than or...
Oct11-09 07:27 AM
2 795
Greetings, I am faced with a problem in Group Theory. It's not homework. I am trying to study it by myself. The...
Oct10-09 05:25 PM
2 2,053
Let α (alpha) all in S_n be a cycle of length l. Prove that if α = τ_1 · · · τ_s, where τ_i are transpositions, then s...
Oct10-09 04:40 PM
1 894
Hello, I am quite new here, as my number of posts might indicate. Thus I am not really sure whether or not this...
Oct10-09 04:00 PM
2 1,266
Hello, how would you solve an homogeneous system of the form A\mathbf{x}=0, with the constrain...
Oct10-09 09:27 AM
5 621
Hello, I'm trying to use either MAXIMA or MATLAB for extended polynomial division. In MAXIMA, I can use the...
Oct8-09 11:46 PM
0 2,355
Let V be a vector space and let T: V \rightarrow V be a linear transformation. Suppose that n and k are positive...
Oct8-09 02:38 PM
1 1,173
Hi, I have a (markov chain) transition matrix X which I understand. In particular each row of this matrix sums to...
Oct8-09 08:10 AM
5 4,515
1. The problem statement, all variables and given/known data How do I show that the cp is p(x)=x^n, dimA=n? 2....
Oct8-09 07:10 AM
7 4,918
I have a system that ideally creates a real symmetric negative definite matrix. However, due to the implementation of...
Oct8-09 03:33 AM
3 1,509
Hello, given a vector x=(a,b) in 2D, and considering another vector obtained by shifting cyclically the coordinates...
Oct7-09 01:38 PM
12 1,355
Give one primitive element for each of the finite field: F2n (here "2" is the subscript) for n=1, n=2,...,n=8
Oct7-09 07:23 AM
1 659
I need to calculate eigen values and eigen vectors of a large symmetric real matrix, but all eigen vectors have to be...
Oct7-09 07:13 AM
3 2,323
Hello, I was trying to follow a proof that uses the dot product of two rank 2 tensors, as in A dot B. How is...
Oct6-09 12:42 PM
5 15,275
I know that if n is odd and has k distinct prime factors, then the number of roots, x^2 = 1 (mod n), is equal to 2^k....
Oct6-09 08:04 AM
1 1,908
I'm considering the problem: Given c \in \bold{F}, v \in V where F is a field and V a vector space, show that cv = 0,...
Oct6-09 06:47 AM
7 1,701

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