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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 34,226
Apr30-05 03:29 AM
21 2,249
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 2,751
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 2,599
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 2,650
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 1,508
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 1,440
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 1,596
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 2,648
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 2,076
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 9,244
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
1 962
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 1,125
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
1 964
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
1 938
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 3,740
I was searching for the definition of localization of a ring . I came across the definition given at ...
Mar9-08 05:05 PM
1 1,109
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 1,171
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 2,397
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 2,550
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
0 691
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 1,912
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 1,824
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 3,491
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 1,394
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 1,578
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 1,890
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 1,106
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
2 540
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
1 720
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
2 796
Can anyone explain ideals and polynomial rings i.e. definitions, examples, the most important theorems, etc.?
Apr24-12 09:42 PM
11 1,900
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 1,514
I want to answer this question: Find all the ideals of the direct product of rings R \times S. (I think this means...
Oct22-09 01:14 PM
2 5,018
I'm working on an exam that Michael Artin once gave, where one of the questions is basically, Consider the...
Aug23-11 02:12 PM
6 3,053
trying to show that polynomials f(x), g(x) in Z are relatively prime in Q iff the ideal they generate in Z contains an...
Dec10-09 06:44 PM
3 798
I came across a question saying Let S: U -> V and T:V -> W be linear maps, where U V and W are vectors spaces over...
Feb1-09 06:37 AM
3 1,030
I'm curious to what this transformation is exactly doing. I'm lead to believe by the context of the question in my...
Aug15-04 09:10 PM
7 1,470

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