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

Feb2313 09:24 AM
micromass

1 
35,758 
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 
1,151 
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 
1,883 
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 
812 
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 
1,024 
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 
1,449 
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 
8,868 
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 
2,564 
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 
1,361 
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 
2,673 
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 
2,567 
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 
794 
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 
8,766 
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 
7,249 
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 
863 
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 
1,558 
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 
2,211 
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 
4,406 
Could someone please explain how to go about putting an equation in to quadratic form.
e.g:...

Apr2810 08:08 AM
CompuChip

2 
2,829 
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 
843 
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 
3,638 
Hi, everyone.
I have a question about geometric constructible numbers.
I know that "if 'a' is constructible then...

Apr2710 07:37 PM
emptyboat

2 
936 
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 
1,928 
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 
3,518 
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 
10,195 
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 
779 
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 
5,265 
Hi,
is there any numerical invariant that would characterize the rank of a nonsquare matrix, similar to the...

Apr2710 04:03 AM
trambolin

5 
5,225 
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 
1,046 
(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 
6,074 
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 
1,010 
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 
14,997 
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 
1,358 
Claim: If gcd(a,b,c)lcm(a,b,c) = abc, then gcd(a,b)=gcd(b,c)=gcd(a,c)=1.
I'm trying to understand why this is...

Apr2510 04:49 PM
disregardthat

6 
5,142 
hi guys, i have no idea of how to do the following question, could u give some ideas?
Q:determine whether or not...

Apr2510 10:59 AM
HallsofIvy

7 
3,576 
Let me put this here, as it's so simple that everyone can take a look at it. I must be blind not to see my...

Apr2510 04:45 AM
ManDay

0 
1,011 
how do I find all u in R such that Q(u)=Q(√2,³ √5 ) (square root of two and cubed root of 5) and prove they are the...

Apr2410 07:07 PM
VKint

1 
1,197 
Lets try arguing in not mathematical terms but logical reasoning. if a number x is divided by any number n, it means...

Apr2310 06:21 AM
Mentallic

16 
3,378 
I am trying to find an example of a diagonal linear operator T in L(H) H is hilbert space that is bounded but not...

Apr2210 03:50 PM
Landau

1 
1,418 
Show that if a \equiv b mod p for all primes p, then a = b.

Apr2210 09:00 AM
HallsofIvy

5 
4,777 