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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 30,417
Hi there, this is my first post here so I'm sorry if this is in the wrong place, asked before, standard newbie...
Oct20-11 06:12 PM
34 5,415
I'm currently reading Durbin's Modern Algebra, and I have a question about the positive set in ordered integral...
Oct20-11 04:56 PM
1 1,275
Hi, I'm struggling with the following: I have a colored graph, and I used Bliss to find the generators group for the...
Oct20-11 01:19 PM
0 635
A few classmates and I need help with some proofs. Our test is in a few days, and we can't seem to figure out these...
Oct20-11 08:16 AM
7 2,633
Why is it that a metric space (X,d) always has two clopen subsets; namely {0}, and X itself? Rudin calls it...
Oct19-11 10:19 PM
3 1,666
I'm slightly confused about why complex numbers are required to find all n roots of a number. Is it specifically...
Oct19-11 08:35 PM
7 2,580
From Herstein's Abstract Algebra. Section 2.7 #7 If φ is a homomorphism of G onto G' and N ◅ G, show that φ(N)...
Oct19-11 02:57 AM
2 1,053
If anyone has any links to good introductory information about matrix completions, please post them here for me. ...
Oct18-11 08:35 PM
0 488
Hi guys! I need to solve a matrix. I have 3 equations, 3 unknowns, straightforward stuff. And I know it's...
Oct18-11 07:14 PM
3 1,619
Hello everyone, I am currently taking an introductory course in linear algebra. I am begining to struggle with...
Oct18-11 06:07 PM
1 757
Let F_n and F_n+1 be successive Fibonnaci numbers. Then |(F_n+1)/(F_n) - Phi | < 1/(2(F_n)^2) Where Phi is the...
Oct18-11 03:14 PM
Matt Benesi
3 1,707
Hello everybody, I would like to know if there are any techniques to handle ill-conditioned or/and singular...
Oct18-11 05:26 AM
1 1,192
Hello. I recall from Linear Algebra there being an ultra-fast shortcut for finding the eigenvectors of a 2x2 matrix...
Oct17-11 03:58 PM
0 2,230
How does knowing that two matrices anticommute AB=-BA and that A^2=1 and B^2=1 help me to know how to find the trace...
Oct17-11 01:38 PM
I like Serena
16 2,675
a,b,c,d\in\mathbb{R^{+}}\;\;,a+b+c+d=1. Then prove that \left(...
Oct17-11 09:40 AM
1 1,247
So I have 4 points, one of them has an unknown x co-ordinate. How would I show that they are coplanar? With 3 points I...
Oct17-11 08:47 AM
5 2,416
Let F be a field. Let c \in F. I am trying to show that if c = f^2 where f\in F], then f\in F. So I am...
Oct16-11 07:59 PM
1 732
I am puzzled by the following infinite product: Let B > A A - B = * = * * = * * * etc.
Oct16-11 05:30 PM
7 1,711
I need to show that addition and multiplication are well-defined in Z/nZ. So far, I've figured out that I need to work...
Oct16-11 04:57 PM
1 1,784
This thread is concerned with rectangular triangle with one side ( = s) and hypothenuse (t = 2 s + 1) given and we...
Oct15-11 10:40 PM
7 4,372
Let n>2. Where n is integer show that sqrt(n!) is irrational. I am supposed to use the Chebyshev theorem that for...
Oct15-11 06:12 PM
7 2,730
EQUALITY OF ROW AND COLUMN RANK (o'Neil's proof) Is there smt wrong? ...
Oct14-11 06:05 PM
1 1,232
So, Google recently interviewed one of my friend as an employee candidate. How many ways can a two by n rectangular...
Oct14-11 04:32 PM
9 2,421
Now, I can show that if n is prime then Z/Zn is a field a = a b = an-2 a*b = an-1 = 1 (mod n) --> Fermat's...
Oct14-11 11:45 AM
3 1,794
How to calculate following integral?: {lim}_{t→∞}\int_{0}^{t} \exp (A(t-s)) B B^{T} \exp (A^{T}(t-s))ds where...
Oct14-11 11:17 AM
0 1,613
Let Q be the quaternion group {1, -1, i, -i, j, -j, k, -k}. Show that the normal subgroup {1, -1, i, -i} is the kernal...
Oct14-11 10:32 AM
9 1,889
While R^1, R^2, ... , R^n comes quite naturally, is it even conceivable to ponder the meaning of R^(-n)? Is this...
Oct14-11 05:55 AM
7 1,690
Please I have a problem with natural log for group set as follow: a*b=eln(a)*ln(b) 1- Show that the group law...
Oct14-11 03:47 AM
9 2,142
Any pro knows what is the main function of direct transient analysis, modal transient analysis, direct response...
Oct13-11 09:33 PM
0 787
Do any of you know how to find unit normal vector when you know three planes (given by eigenvectors of a 3x3 stress...
Oct12-11 10:46 PM
0 901
For any given quadratic surfaces equation e.g ax^{2}+by^{2}+cz^{2}+ 2dxy + 2eyz + 2fxz = g, where a,b,c,d,e,f...
Oct12-11 09:47 PM
0 881
1. The problem statement, all variables and given/known data If I have some fraction, a/b, in Z subscript 5. (Z is...
Oct12-11 11:55 AM
6 2,156
Is there any standard (or reasonably standard) notation for the following function? Basically, it's ∏(n) -...
Oct12-11 01:12 AM
0 1,399
I have almost no idea how to start! I'm just doing this problem for fun(or was at one time): Find all a such that...
Oct11-11 01:59 PM
Matt Benesi
10 3,110
I posted this question in the engineering section, but didn't get any replies there - hence posting it here. Below...
Oct11-11 11:18 AM
2 747
Ok, so I'm having difficulty adapting to subjects like set theory etc. For example this question: L.{A,a} = {A,...
Oct10-11 04:44 PM
1 1,234
Hi, I am trying to find the degree $. Intuitively, I thought it will be 2? but cannot see that
Oct10-11 04:12 PM
1 1,438
Here is a bilinear map φ of two vector spaces V₁ & V₂ into another vector space N with respect to the bases B =...
Oct10-11 12:23 PM
3 1,642
I can find various derivations of ∫ dθ = 0 which are satisfactory, but none of ∫dθ θ =1. Cheng and Li says it's...
Oct10-11 11:18 AM
FJ Rolfes
2 1,054
Hello, I have an unitary operator f, and another binary linear operator g. I would like to find out a necessary...
Oct10-11 09:48 AM
2 958

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