
Please post any and all homework or other textbookstyle problems in one of the Homework & Coursework Questions...

Feb2313 09:24 AM
micromass

1 
35,947 
In algebra, do you just base your understanding off the pure definitions and groups? I am learning some multilinear...

May1010 11:03 AM
Monocles

6 
1,728 
I have started learning Lie algebra and I can't understand one example given in the notes.
Given:
= 2 e_{\alpha} ...

May910 09:12 PM
droblly

1 
805 
Find smallest d=2a^2=3b^3+2=5c^5+3
where a,b,c are integers.
This problem is very hard. Either no solution or d...

May910 11:23 AM
CRGreathouse

2 
1,774 
Please can someone kindly inform me if significant autocorrelation in stock price returns is enough evidence to...

May810 11:28 AM
SavvyAA3

0 
954 
Is there any criterion for the irreducibility of a polynomial in several variables over an algebraically closed field...

May810 03:04 AM
mrbohn1

5 
3,369 
I admit I had this problem on a set, but it's since been due and no one was able to solve it. I've not cracked it...

May710 10:26 PM
TMM

0 
1,767 
I would like a reference for a purely algebraic proof of the fundamental theorem of algebra  or if you would like to...

May710 05:32 PM
Landau

16 
2,866 
Hi:
Given a fin.dim vector space V over R, and two different bases B_V,B_V'
for V , we say that B_V,B'_V are...

May610 11:18 AM
lavinia

1 
1,154 
Is there anyway to show that for a symmetric or normal matrix A, that det(A) = \prod \lambda_i without using Jordan...

May610 07:26 AM
HallsofIvy

4 
1,189 
Hi there!
I'm trying to prove the following obvious statement, but am somehow stuck :(
Let \vec a,\ \vec...

May510 10:42 PM
Live2Learn

4 
1,893 
So it says here "Let S be a set of sets. Show that isomorphism is an equivalence relation on S."
So in order to...

May510 03:03 PM
yaganon

2 
816 
First what are Idempotents?
Second, If A and B are simliar matrices, show that if A is idempotent then so is B.

May510 09:38 AM
Landau

3 
1,028 
Is this possible?
I've computed a multiobjective least squares solution and want to make it able to be updated...

May510 06:06 AM
jasonRF

1 
1,452 
What is the difference between a homomorphism which is from a group G ONTO a group H and a homomorphism which is from...

May410 11:20 PM
swartzism

28 
8,917 
So this is supposed be an introductory problem for tensor products that I was trying to do to verify I am...

May410 04:45 PM
TMM

7 
2,573 
For the linear transformation,
T: R^2\rightarrow R^2, T(x,y) = (x^2,y)
find the preimage of..
f(x)= 2x+1
I...

May310 08:53 AM
HallsofIvy

2 
1,365 
Hi...
How do I construct a Galois extension E of Q(set of rational numbers) such that Gal is isomorphic to Z/3Z.
...

May210 09:11 PM
TMM

5 
2,686 
1: Is a group of permutations basically the same as a group of functions? As far as I know, they have the same...

May210 04:36 PM
Martin Rattigan

5 
2,577 
Is the lifting of an algebraic extension also algebraic?
i.e. K,E are extensions of F, E algebraic over F, KE...

May210 10:46 AM
qddwwzh

0 
799 
Hi...
We have all seen the equation det(M)=exp(tr(lnM)). I was taught the proof using diagonalisation. I was...

Apr3010 11:17 PM
Simon_Tyler

4 
8,808 
I mean, according to my knowledge, Bertrand's postulate has already been proved, I've already read and understood one,...

Apr3010 04:11 AM
astroultraman

20 
7,286 
Let A be an n x n matrix with eigenvalue \lambda . Prove that \lambda ^2 is and eigenvalue of A^2 and that if v is an...

Apr2910 08:53 PM
Evo

3 
867 
Hi,
I'm reading Shankar's Principles of QM and I find it not very clear on how exactly should I change basis of...

Apr2810 09:23 PM
Fredrik

3 
1,571 
Hi, what I did to try to find prime numbers was this (in a computer program)
Starting from 2, I set off a sine wave...

Apr2810 08:18 PM
glengarry

8 
2,219 
I have the following problem:
A * Phi = Ax' * Sx + Ay' * Sy
where,
A= Ax' * Ax + Ay' * Ay + Axy' * Axy
and...

Apr2810 02:52 PM
jasonRF

8 
4,429 
Could someone please explain how to go about putting an equation in to quadratic form.
e.g:...

Apr2810 08:08 AM
CompuChip

2 
2,844 
Let S be a set on which a linear order <= (less or equal) , is defined. Show that a nonempty finite subset has a max.

Apr2810 05:17 AM
Martin Rattigan

3 
846 
Let a,b>1 be integers such that for all n>0 we have a^n1b^n1. Then b is a natural power of a. I can't find a...

Apr2810 04:57 AM
Martin Rattigan

31 
3,650 
Hi, everyone.
I have a question about geometric constructible numbers.
I know that "if 'a' is constructible then...

Apr2710 07:37 PM
emptyboat

2 
940 
for a 3 x 3 matric of values
a11 a12 a13
b21 b22 b23
c31 c32 c33
the determinant will be...

Apr2710 01:29 PM
Fredrik

1 
1,942 
As a generalization to some problem I've just seen, I'm wonder what the solution to the following question is:
For...

Apr2710 01:01 PM
Martin Rattigan

21 
3,529 
hi, i don't really understand whats the difference between vector product and dot product in matrix form.
for...

Apr2710 11:42 AM
quietrain

6 
10,223 
Let R be an ordered Ring. Assume R+ is wellordered
Prove:
a) min(R+) = 1.
b) R is an integer ring

Apr2710 09:04 AM
g_edgar

2 
781 
Hello, I'm a senior mechanical engineering student.
I'm trying to write an application that plots the system...

Apr2710 04:05 AM
trambolin

14 
5,277 
Hi,
is there any numerical invariant that would characterize the rank of a nonsquare matrix, similar to the...

Apr2710 04:03 AM
trambolin

5 
5,256 
I need to prove the following.
1. A is a symmetric matrix, and x(transpose)*A*x=0 for all x (belongs to R^n) if and...

Apr2710 03:55 AM
trambolin

2 
1,050 
(Note: this isn't a homework question, I'm reviewing and I think the textbook is wrong.)
I'm working through the...

Apr2610 05:04 PM
Dosmascerveza

8 
6,104 
http://img710.imageshack.us/img710/2314/booleanalgebra.jpg
AFAIK logic is all about "T"/"F" or 0/1, and boolean...

Apr2610 02:14 PM
TacTics

3 
1,014 
I need to compute the 3 eigenvalues and 3 eigenvectors of a symmetric 3x3 matrix, namely a stress tensor,...

Apr2610 01:05 PM
jrosen13

8 
15,056 
Let R be a noncommutative ring . Suppose that the number of nonunits of R is finite . Can we say that R is a finite...

Apr2610 10:54 AM
zhentil

5 
1,360 