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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 34,915
alsalam alekum hi i need a help in some question i try but i can not solve it i have a final exam...
Dec10-06 02:07 PM
9 2,263
rank(A+B)>=min{rank(A),rank(B)},which holds for allA,B in positive semidefinite matrix
Apr3-09 09:01 PM
0 1,032
Let be PI(x) the prime number counting function ,i have discovered an integral representation for it the integral is...
Feb12-05 03:07 PM
21 6,109
hi, i have only basic knowledge of number theory, but would like to know a hell lot, like maths major level or...
Mar9-11 10:53 PM
6 2,091
Every prime number > 3 could be written as a sum of a prime number and a power of two. p,q are primes, n is...
Nov11-08 11:28 PM
93 10,783
Apr30-05 03:29 AM
21 2,251
So, I'm trying to self-teach myself Abstract Algebra, and this idea of cosets is killing me, and I'm not completely...
Sep12-11 09:24 AM
9 2,760
Hi, I've spent dozen of hours searching by my-self and dozen of hours searching on the Web. Now I need help. Who...
Nov30-04 05:39 PM
6 2,622
First and foremost, let's get something straight before I post my proof: I'm not enrolled in any classes. I don't...
May7-09 09:17 AM
14 2,674
I thought the definition of a field was the set of all real numbers plus addition and multiplication (or whatever the...
May8-12 04:58 PM
7 1,511
Hello, I need help in this two quetion. Please, show me all the steps to solve them. 1- Find the distence from a...
May18-09 02:57 PM
2 1,075
I need help proving if a + a = 0 then a = 0. Thanks!
Jul13-04 04:08 PM
1 1,441
Hi i need help to prove this theory: GCD(n.m)=1 <=> GCD((2^n)-1,(2^m)-1)=1 n,m real numbers
Dec17-08 10:33 PM
robert Ihnot
3 1,597
Hi, can somebody help me out with this question: A car is stuck on the side of the road and the driver has only a...
Sep22-04 02:12 PM
2 1,061
what are the range of values of k that gives the equation (k+1)x^2+4kx+9=0 ...I work it out :confused: ...please help
Oct5-04 07:52 PM
34 2,649
The Farey sequence F_n (F subscript n) for any positive integer n is the set of irreducible rational numbers a/b with...
Apr13-11 02:17 PM
Bill Simpson
5 2,078
Alright. As stated in the title above. So, a subspace is a set of vectors that satisfies: 1) It contained the zero...
Mar8-09 04:24 PM
8 9,257
We have: z = (2^(mn) - 1)/, where (2^m - 1) and (2^n - 1) are prime numbers. Prove that (2^m - 1) and (2^n - 1) are...
Nov21-10 05:50 AM
1 965
I know how to use determinants to solve a system of linear equations, I know I can use them to find the rank of a...
Jul18-12 06:51 AM
5 1,128
For an exercise, I want to axiomatize sudoku. I've came up with the definition of the sudoku puzzle in mathematical...
Mar18-11 07:23 PM
1 967
I have the following equation: (k(x)*g(x)')'=p*g(x) where k(x) = k(x+T) -- k(x) is a known periodical function...
Mar10-10 07:47 AM
1 940
i was reading simon singh's the code book. it describes different systems of cryptography. but what i wanted to know...
Feb6-06 02:37 AM
7 3,743
I was searching for the definition of localization of a ring . I came across the definition given at ...
Mar9-08 05:05 PM
1 1,114
I was wondering what Q/Z, or the rational numbers modulo the integers. I am struggling to visualize what the cosets...
Apr22-09 09:18 PM
2 1,175
I wont to learn the logic behind a determinant, the math isnít so hard you do that then you do that, you donít need to...
Sep5-04 11:00 AM
4 2,399
You can find many texts and web pages that teach elementary algebra and say they are only dealing with the real...
Mar31-11 11:29 AM
10 2,554
hello. I'm creating an ifc importer. I'm creating some simple beam with rotation about X , about Y and about Z....
Mar5-12 05:26 AM
0 693
This is an interesting type of number series I found. I have no idea if it's good for anything, but somehow it's...
Dec18-10 11:39 AM
1 1,913
hello, i've been reading some proofs and in keep finding this same argument tyo prove that a linear map is injective...
Dec18-07 06:10 AM
1 1,826
I saw a picture of what it might look like when I was researching it, but I'm confused about something. The picture's...
Mar26-13 07:44 PM
0 515
I've just come across one-forms for the first time. Everything I read makes them sound exactly like dual vectors, but...
Nov1-05 11:01 AM
25 3,498
This is crazy. I have no idea what the textbook is saying at the end. So far, so good. Then this flies at me...
Oct18-10 07:53 PM
moe darklight
2 1,397
So I've been working through some algebraic number theory and there is a problem asking me to describe the ideals in...
Jun5-09 10:08 AM
0 1,581
For what values does \mathbb{Z} have unique factorization? I know Kummer shown that \zeta being a 23-rd root of...
Aug12-07 10:51 AM
6 1,892
Hello I need your help please. I have a block matrix P=, which is inversable. if f belongs to the ideal of the...
Jun6-14 05:48 AM
1 1,231
A vector can be expressed by a column matrix or by a row matrix, however is preferably use the column matrix for...
Mar4-14 04:52 PM
2 544
Hi, This has came up in a proof I'm going through, and need some guidance. The proposition is that if R is a...
Mar5-11 04:12 PM
1 722
Is an ideal always a linear space? I'm reading a proof, where the author is essentially saying: (1) since x is in...
Feb15-11 11:25 AM
2 801
Can anyone explain ideals and polynomial rings i.e. definitions, examples, the most important theorems, etc.?
Apr24-12 09:42 PM
11 1,909
Do all rings have to be generated by ideals? Or can some rings come without ideals? Can some elements in rings be...
Feb15-08 02:10 AM
2 1,518

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