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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
micromass
1 30,439
I'm trying to learn linear algebra by myself from a book called "Introduction to linear algebra" by A.D. Martin and...
Dec31-03 11:29 AM
Muzza
4 10,330
How do i find the eigenvalues and eigenvectors for the linear operator T defined as T(w,z) = (z,w)??
Mar5-08 09:37 PM
mathwonk
6 10,224
What is the last digit of 2222^{50}~+~7777^{16}? I know how to do these kinds of questions, but this time around I...
Sep9-09 07:42 AM
Borek
11 10,222
I find it rather tedious to calculate the eigenvalues of a 3x3 matrix. For example The \emph{characteristic...
Apr17-09 03:12 AM
matt grime
2 10,209
Hey, I need help with thris proof.. :) Say A is a skew-symmetric matrix. Is B=A^2 skew-symmetric, symmetric or...
Oct23-06 12:37 AM
robphy
1 10,193
I'm just beginning my study of rings, and I'm wondering if there are some standard ways to show that two rings are not...
Apr23-09 01:16 AM
matt grime
11 10,113
There are 2 issues I want to talk about in this post. (1) General algorithm for gauss-jordan elimination computation...
Apr4-09 08:06 PM
junglebeast
0 10,089
Hi I want to find inverse of singular matrix...... Is there any method to find it??? Please help me out..... ...
Jan18-12 06:24 AM
micromass
6 10,046
Does anyone know where I can access past exam papers in the field of linear algebra. I am particularly looking for...
Oct14-09 08:49 AM
Dafe
4 10,029
In the "origin of zero" thread, I saw the following remark: I had heard a different story, in a pythagorean mood:...
Apr16-05 01:34 PM
neurocomp2003
6 10,017
Hi. Do you know of any package to draw Coxeter graphs and Dynkin diagrams in LaTeX directly? Currently I'm...
Dec19-07 05:00 PM
robphy
2 9,982
We have two nxn matrices with non-negative elements, A and B. We know the eigenvalues and eigenvectors of A and B....
Nov7-10 04:55 PM
Leo321
2 9,981
I assume everyone who saw this thread first rolled their eyes. Sorry for that. My question is an innocent one, as I...
Jan25-11 10:58 AM
Max™
39 9,974
I have been thinking about this for a week and I simply can't get anywhere. consider a 4x4 diagonal matrix such...
Dec16-07 09:48 PM
Defennder
1 9,965
I don't really understand why it hasn't been numerically added into modern math. I mean, we make all kinds of...
Mar17-09 05:27 AM
HallsofIvy
66 9,920
Hi all. I'm having a really tough time figuring out how to solve this problem: Suppose that {v1, v2, v3} are...
Apr23-11 08:00 PM
CatAteMyHW
6 9,905
Hello, It is known that a system of linear equations is considered overdetermined if there are more equations than...
Feb27-12 04:23 PM
Borek
14 9,903
Hey, A while ago i hear about finding the division number theory . And i am wondering if there is a theory...
Oct28-04 11:18 AM
Gokul43201
3 9,858
Hello, I have searched through out the internet but I couldn't find any information about the origin of Pascal...
Jul12-08 03:20 AM
roam
7 9,832
How do i get the point of intersection of a line and a circle.. I got lots of information on this topic, but my...
Aug7-09 07:26 AM
fatra2
3 9,832
I'm reading the Wikipedia article, trying to understand the definition of the tensor product V\otimes W of two vector...
Jun18-08 11:43 AM
Fredrik
33 9,824
Any explanation would be great. Also, are there any examples of finite Integral domains that aren't fields?
Feb4-11 09:03 PM
Spartan Math
7 9,817
hi, i don't really understand whats the difference between vector product and dot product in matrix form. for...
Apr27-10 11:42 AM
quietrain
6 9,815
Hey all! I am working on this and got confused. Any help at all would be much appreciated! Determine the kernel...
Dec14-09 10:50 AM
Codexmac
6 9,735
simple problem... 3x = 1 (mod 16), find all possible values of x mod 16 so this is what i've come to: 3x = 1 +...
Mar1-08 04:41 PM
ramsey2879
7 9,732
Hi all! I was working on some homework for the linear algebra section of my "Math Methods for Physicists" class and...
Oct14-09 03:00 AM
Matthollyw00d
2 9,730
While reading text, I had a question which I can not resolve by myself. Please Help me! it reads, The empty set( a...
Sep29-05 01:35 PM
Adriadne
33 9,728
Hi. I have a question. I know the rule of the hightest power of 2 dividing n!, the highest power means if 2^{k}|n!,...
Oct21-07 01:40 AM
whodsow
4 9,709
Hi all! This looks a pretty nice forum. So here's my question: How do I find/show a basis or orthogonal basis...
Sep25-06 01:31 PM
river_rat
4 9,707
How do I take the cross product of Two 3x3 Matrices. For example what is cross product of: x
Dec4-09 09:09 AM
dellatorre
5 9,684
Hello everyone. I came across the term free vector space in a book on mathematical physics by Geroch but cannot...
Dec30-07 12:08 PM
mathwonk
11 9,673
how to plot the irrational number pi on a number line. i know the procedure for square roots of differant non-perfecr...
Nov18-05 04:07 AM
Aditya89
7 9,669
If I have a set of numbers from 1 to N, I want to know how to count sets such that the highest number in the set is...
May26-12 09:17 AM
ClifDavis
102 9,648
how do you prove that if v is an element of V (a vector space), and if r is a scalar and if rv = 0, then either r = 0...
Mar30-04 05:27 AM
matt grime
5 9,643
right now, my concept for their difference is that linear transformations are 1 to 1, where as nonlinear...
Nov5-09 04:04 AM
HallsofIvy
2 9,643
Here it is... 1/3= .33333333333........... 2/3= .6666666666......... so 3/3= .9999999999.......
Oct8-05 08:03 AM
HallsofIvy
3 9,607
Please excuse the lack of latex, I'm in somewhat of a hurry and I do not have the time to lookup the latex syntax for...
Mar18-05 03:05 PM
FrogPad
3 9,593
hi all this is the general problem X\ddot{}+AX\dot{}+BX=0 let A, B,X be 2*2 matrices its application is in...
Mar30-08 01:14 AM
jahandideh
6 9,585
Hi, I'm a grad student in pure math and I'm trying to re-learn my linear algebra from scratch because I never learned...
Nov17-09 06:25 AM
Ruslan_Sharipov
7 9,558
Hello, what's the difference between Hermitian and self-adjoint operators? Our professor in Group Theory made a...
Dec16-08 01:19 PM
Adam....
10 9,527

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