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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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Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:24 AM
1 30,534
Does anyone know where I can download or purchase this paper? I can't find it anywhere...
Feb7-12 11:35 AM
2 2,263
does complex number have anything like consicutive numbers? . Like 2,3,4 are consicutive integers...
Feb7-12 06:00 AM
14 4,263
I am currently trying to go between any two bases which are between and including base 2 to base 10. (i.e, base 10 to...
Feb7-12 12:02 PM
12 3,934
What is the standard for counting with composite numbers? If I can count to infinity with all odd composites and...
Feb13-12 09:35 AM
33 3,892
Hello, Background: We have a machine with two rotational axes (b,c) attached to each other. By design the B axis is...
Feb13-12 02:37 AM
7 4,301
If we assume that the Twin Prime Conjecture is true (and thus there are infinite number of primes that are 2 apart),...
Feb8-12 08:42 PM
6 2,086
hallo I am trying to calculate the probability to obtain 2 sets of linearly independent vectors from a set of...
Feb14-12 08:41 AM
5 1,663
I would really like to get some constructive feed back on this prime-seeking algorithm. Computationally it's no better...
Feb7-12 03:57 PM
Amir Livne
3 2,726
Hi folks, I know the covariance matrix and the location of a point, both of which are expressed in Cartesian...
Feb8-12 12:46 AM
Stephen Tashi
15 2,107
I am trying to find nonzero prime ideals of \mathbb{Z} \oplus \mathbb {Z}, specifically those which are not also...
Feb12-12 01:03 AM
6 2,364
I know how I would be able to do this using projection, but am not so sure with dot products. Do I dot the normal...
Feb13-12 06:21 PM
3 3,430
If you are given three vectors (v1, v2, v3) that each have 3 components (i.e. x, y, z) how do you go about figuring...
Feb7-12 09:45 PM
6 1,389
Hi, My question is to show that the linear transformation T: M2x2(F) -> P2(F) defined by T (a b c d) = (a-d) |...
Feb9-12 03:11 PM
3 2,194
Hope this is in the right forum. I apologize in advance for my ignorance and imprecise discussion as I am at a major...
Feb6-12 10:09 PM
1 1,254
hi, is there integers a, b, c that satisfy the equation an + bn = cn for n>2 (I don't mean positive integers) ...
Feb7-12 03:54 PM
Amir Livne
2 1,364
I'm confused with a question and wondered if anyone could help explain where I need to go... let x ε R. Prove that...
Feb9-12 10:36 AM
5 1,474
Well I generally haven an idea about subgroup of a group and generators. But I fail to understand following:...
Feb10-12 12:59 AM
11 1,631
The Wikipedia article for the bicyclic monoid gives three constructions, one of which starts with a free semigroup. It...
Feb7-12 02:05 PM
2 1,103
Hi - I've got the following question but can't find any concrete information in my books on how to answer it and I'm...
Feb7-12 01:57 PM
6 1,169
I want to prove that the square of any integer is in the form of 4n or 4n + 1. I know that when we square any...
Feb10-12 04:29 PM
8 2,133
Hi there, I am new to optimization theory. I just went thru solving linear equations using gradient...
Feb8-12 11:11 AM
2 1,203
I don't understand how to show that the reflections and rotations are associative. Thanks for any help.
Feb9-12 02:08 AM
2 1,823
Using vectors to Go from one point to another restricts us with merely orthogonal mathematics that pertain to our...
Feb8-12 03:02 PM
0 1,074
I'm trying to prove that every nxn matrix can be written as a linear combination of matrices in GL(n,F). I know all...
Feb9-12 02:59 PM
1 1,550
greetings . i have a couple of questions about the prime counting function . when \pi _{0}(x) changes by 1, then...
Feb9-12 11:51 AM
1 1,485
(x^k) - 1 = (x - 1)*(x^(k-1) + x^(k-2) + ... + x + 1) Where does this factorization come from? I need to know so I...
Feb11-12 05:26 AM
9 2,485
we have an Ipad mounted on a vehicle and would like to know that if the ipad is mounted in a tilted manner, would the...
Feb10-12 02:30 AM
1 1,153
In order to improve my knowledge of Linear Algebra I am reading Linear Algebra Done Right by Sheldon Axler. In...
Feb12-12 08:38 PM
7 1,655
Let G be a finite Group. If every proper normal subgroup of G/Z(G) is supersolvable then every proper normal subgroup...
Feb10-12 12:26 PM
0 1,090
Direct product of two irreducible representations of a finite group can be decomposed into a direct sum of irreducible...
Feb15-12 09:09 AM
5 1,864
Non-repeating patterns in decimal expansions of irrational numbers seem to have two forms. I am wondering if there is...
Feb13-12 10:07 AM
7 3,105
I was wondering if this is a correct statement, I'm assuming it is for my proof. Let e,f and g be non zero...
Feb12-12 02:14 PM
1 1,429
I'm researching a problem relatived to group SO(8). I have searched many book of theory Group but I did'n find SO(8)...
Feb13-12 02:03 AM
5 1,258
Hello Mathematician Can the matrix be differentiated with respect to a vector? Regards Aman
Feb15-12 12:46 PM
3 1,470
Hi guys I have a question about the coprime of two vectors For two vectors (x1,x2) and (y1,y2). Given a,b with...
Feb13-12 09:20 PM
5 1,532
The group in question is U100, the group of units modulo 100, which, correct me if I'm wrong, is equal to {3, 7, 9,...
Feb13-12 12:40 PM
1 2,023
(1)Assume a, b and n are nonzero integers. Prove that n is divisible by ab if and only if n is divisible by a and n...
Feb15-12 02:47 PM
3 1,857
someome please help me with this problem: "Any real numbers x and y with 0 < x < y, there exist positive integers p...
Feb13-12 10:32 PM
1 1,498
If you could assume that every even number > 6 is the sum of at most 4 primes, would that help in anyway to prove it...
Feb15-12 12:53 PM
0 1,385
Feb15-12 05:37 PM
3 1,536

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