Linear & Abstract Algebra

- Vector spaces and linear transformations. Groups and other algebraic structures along with Number Theory.
 Meta Thread / Thread Starter Last Post Replies Views Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions... Feb23-13 09:24 AM micromass 1 30,412 G,H be groups(finite or infinite) Prove that if (G:H)=n, then there exist some normal subgroup K of G (G:K)≤n!... Mar22-10 08:23 AM emptyboat 3 1,144 Need to find all the posible solutions (a,b,c) for 1/a + 1/b + 1/c = 1, a,b,c integers. Mar22-10 04:56 AM im_hoogiez 14 17,016 Hi there, just a pretty straight forward query I need cleared up..... If a question asks for the null space of A... Mar22-10 02:07 AM canyonist 2 702 Hi guys, I'm trying to show that \mathbb{F}_5/(x^2+2) and \mathbb{F}_5/(x^2+3) are isomorphic as rings. As I... Mar21-10 08:54 AM JackTheLad 4 1,127 How do we show that, given a matrix $A$, the sign of the determinant is positive or negative depending on the... Mar20-10 08:44 PM quasar987 3 1,008 hey guys, im a student engineer and have found that the laws we use are primarily based off of stats. this has led me... Mar20-10 01:37 AM robert2734 10 1,844 Hello, Let's consider the L^2(\mathbb{R}) space with an inner product, and the complex sinusoids in the interval... Mar19-10 04:09 PM jostpuur 5 2,355 I'm an undergraduate computer-science student doing research in the field of computer vision, and one of the tasks... Mar19-10 07:06 AM mikeph 1 3,693 Hello people. I'm a freshman in college and I'm looking forward to enter an advanced mathematics program. The... Mar18-10 01:26 PM Hobold 9 7,854 If I want to know how many solutions a consistent linear system with more equations than unknowns has, how do I tell?... Mar18-10 06:49 AM HallsofIvy 1 3,216 hi, i was reading about finitely generated ideals and there was a remark that ideal which consists of... Mar18-10 05:12 AM mrbohn1 1 1,520 hi, i want to show that If R is a PID then a submodule of a cyclic R-module is also cyclic. do i need to use... Mar17-10 08:33 PM mesarmath 2 2,035 I am having the hardest time proving that "The product of any two even integers is a multiple of 4." My proof... Mar17-10 04:02 PM tiny-tim 1 1,210 Proving Axiom 1 of all 3 x 3 magic squares. I used summation notation to do so but it is extremely long and... Mar17-10 09:31 AM Zorba 4 1,331 How to prove that if A is a diagonalizable matrix, then the rank of A is the number of nonzero eigenvalues of A.... Mar17-10 09:10 AM Zorba 2 1,058 If A\in O(3) and v,w\in\mathbb{R}^3, then (Av)\times (Aw) = (\textrm{det}\;A) A(v\times w) is right, right?... Mar16-10 03:08 PM Jmf 7 3,183 Take two rows of respective length m and n: a1, a2, a3,..., am and b1, b2, b3, ..., bn. Then produce as follows... Mar16-10 02:11 PM mahch 6 1,361 Hey guys! I am having a major brain problem today, with this problem. L is a linear transform that maps... Mar16-10 11:03 AM Takuya 4 3,074 Hello all, I'm attempting to find in literature a method of determining from a Lie algebra's full root system in an... Mar16-10 10:53 AM TIMRENNER 0 1,014 Hey I'd appreciate it if somebody could "yay or nay" my understanding of the following concepts, I think I'm mixing... Mar15-10 06:46 PM sponsoredwalk 4 948 See the attachment/// Can Anyone Understand this??? I mean what metod has he followed to solve this equation for x... Mar14-10 07:28 PM phymatter 2 834 given the sequence (power series) g(x)= \sum_{n\ge 0}a(n)(-1)^{n}x^{n} if i define ... Mar14-10 01:42 PM g_edgar 3 1,243 Hi everybody, I'm new to absract algebra and I really can not understand different between direct sum and direct... Mar14-10 11:58 AM Landau 9 7,008 So an example was the matrix: A = \left(\begin{array}{cccc} a&a+b\\ b&0\\ \end{array} \right) is a... Mar14-10 11:52 AM Landau 2 2,275 Definition: A primitive Pythagorean triple is a triple of natural numbers x,y,z s.t. x^2 + y^2 = z^2 and gcd(x,y,z)=1.... Mar14-10 07:13 AM Gokul43201 8 3,681 Hi, I've been trying to get my head around this. \Sigma_{(j)} is a p x p matrix given by \Sigma_{(j)} =... Mar14-10 04:04 AM maverick280857 4 6,289 WITHOUT using the MATLAB ‘MULTIPLICATION COMMAND’ write down your own program to implement the matrix multiplication M... Mar13-10 04:40 PM jbunniii 1 1,740 I quite like the following definition of pi and I wonder which minimal algebraic rules are needed to make this... Mar13-10 09:40 AM Gerenuk 2 1,049 e_r=\#\lbrace d:d\mid n\;\;\; \textup{and}\;\;\; d=p_r^k, k\in N\rbrace where n=p_r^{e_r} I am using it in a... Mar12-10 11:31 PM ballzac 4 1,133 I am reading an Abstract Algebra book, and there is a theorem that says: Thm: If G is a finite group, then the... Mar12-10 09:52 PM quasar987 1 1,047 "Let p be an odd prime, then we proved that the Legendre symbol http://sites.google.com/site/asdfasdf23135/nt9.JPG ... Mar12-10 08:11 PM robert Ihnot 12 4,146 Hi Everyone, I am reading up on information theory, and every resource I have found on the topic which derives the... Mar12-10 07:29 PM boboYO 5 1,250 Hi... I need a program that can give me all the subgroups of a group that I define. I also need it to give me the... Mar12-10 02:55 AM krishna mohan 2 1,300 does the floor function satisfy floor(x)= x + O(x^{1/2}) the idea is the floor function would have an 'smooth'... Mar11-10 08:15 PM CRGreathouse 7 2,041 nevermind, please delete Mar11-10 04:35 PM emyt 0 1,005 This may seem like a very obvious question, but I thought it may be some sort of trick that my lecturer thought I may... Mar11-10 09:25 AM HallsofIvy 1 2,384 So I am working on solving sets of linear congruence with the chinese remainder theorem. When I go to solve for the... Mar10-10 05:46 PM ramsey2879 2 2,226 So I have a couple of questions in regards to linear operators and their eigenvalues and how it relates to their... Mar10-10 11:57 AM bjgawp 5 2,896 I am having trouble with this proof: show that if d|n then phi(d)|phi(n). I know that if d|n, then ad=n and that... Mar10-10 11:21 AM Petek 7 3,841 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 simplex 1 906