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

Feb2313 09:24 AM
micromass

1 
34,257 
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 
5,108 
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 
3,535 
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 
1,000 
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 
1,177 
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 
3,361 
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 
1,405 
Show that if a \equiv b mod p for all primes p, then a = b.

Apr2210 09:00 AM
HallsofIvy

5 
4,739 
I am having difficulties with understanding some aspects of inner products. For example,
u² = <u,u>
Where...

Apr2210 08:45 AM
HallsofIvy

10 
1,876 
Hi!
Studying the introductory chapters of a Operator Theory book, I have found that the author seem to find a lot of...

Apr2110 09:18 PM
JSuarez

5 
1,290 
For the theorem: " If v1,.....,vr are eigenvectors of a linear map T going from vector space V to V, with respect to...

Apr2110 08:31 AM
HallsofIvy

6 
2,350 
One of the topics in my linear algebra course is kernel and range of a linear transformation. I have a firm...

Apr2110 12:55 AM
radou

3 
1,401 
Can someone explain to me how to find all the cosets of a set like H={A in GL(n)  det(A) = 1} in GL(n) (set of...

Apr2010 01:21 PM
Martin Rattigan

6 
3,410 
Let R = Mn(F) be the ring consists of all n*n matrices over a field F and
E = E11 + E22 + ... + En1,n1, where Eii...

Apr2010 01:01 PM
Martin Rattigan

4 
1,105 
Does anyone have a good resource of worked examples on simple (ish) tensor algebra? By way of background I'm a...

Apr1910 05:42 AM
bill nye scienceguy!

2 
1,461 
Why is it that if the sum of the digits of a number is divisible by three, the number itself is also divisible by...

Apr1910 02:16 AM
Char. Limit

5 
2,690 
Hi all,
Let's say we have a symmetric matrix A with its corresponding diagonal matrix D. If A has only 1...

Apr1810 02:20 AM
Noxide

4 
5,314 
Hi
I am struggling to get my head fully around the conjugacy classes of D5.
Everywhere I have looked seems to...

Apr1710 01:27 PM
Martin Rattigan

5 
8,826 
Is there a variant form of induction to prove something about the rationals as opposed to just the natural numbers?
...

Apr1710 12:24 PM
ramsey2879

2 
1,554 
This is a theorem about Jacobi symbols in my textbook:
Let n and m be ODD and positive. Then (a/nm)=(a/n)(a/m) and...

Apr1710 12:10 PM
robert Ihnot

1 
2,691 
Let x and y be elements of a group.
I can see that it works the other way, i.e. if x and y commute, then y*x^n =...

Apr1610 09:54 PM
landor

5 
1,614 
Amateur question ahead, be warned.
I really dislike proofs that something cannot be done. My first gripe is that...

Apr1510 10:35 PM
CRGreathouse

18 
10,667 
I think I have worked out a formula for Prime Numbers. I said, "I think," because
1. I dont know , Is that formula...

Apr1510 12:30 PM
CRGreathouse

7 
1,716 
Is set theory, counting off members, realy indicative of any order of difference when neither set has a 'size' ? If my...

Apr1510 08:39 AM
lavinia

14 
2,060 
Today I was reading in a probabilities textbook that the probability of the union of two events is:
p(E_1 \cup...

Apr1410 03:22 PM
Damidami

0 
1,180 
I randomly came accross this problem:
http://en.wikipedia.org/wiki/Thirtysix_officers_problem
however, the...

Apr1410 02:33 PM
Martin Rattigan

1 
2,096 
Hi, can anyone explain to me if a 3 x 4 matrix can have independent columns? How about independent rows?
Thanks!

Apr1310 05:52 PM
VeeEight

3 
1,352 
Hi,
I was wondering why the wavefunction in quantum mechanics is complex. There are a lot of threads in the...

Apr1310 04:37 PM
IanC89

6 
1,073 
A= (3 0
0 3 )
why is it diagonalizable?
i'm not sure...

Apr1310 08:13 AM
Rajini

1 
874 
can any body please give me matlab version 6 coding of gauss jordan elimination method or how to make following gauss...

Apr1310 07:37 AM
hell_demon

0 
2,646 
Let R = Mn(F) the ring consists of all n*n matrices over a field F and E = E11 + E22 + ... + En1,n1, where Eii is...

Apr1310 05:21 AM
xixi

0 
609 
"11 and 101 are primes, whereas 1001 is not (7*11*13). Find the next smallest prime of the form 100...01, and show...

Apr1210 07:03 PM
CRGreathouse

21 
6,098 
Hello math goers,
My education in linear algebra is limited to an Intro course I took a year ago. So I am posting...

Apr1210 05:34 PM
Xuser

3 
1,165 
Say you have two vectors v_1 and v_2 in \Re^3. Then the area of the parallelogram generated by these two vectors is...

Apr1210 05:21 PM
mbs

1 
961 
Hi all,
Can anyone please help me with the following question. Actually, i received a paper from some German...

Apr1210 02:00 PM
seth001

0 
714 
Can an element of a quotient group G/N in an isomorphism f:G/NH map back onto itself if it does not have a...

Apr1210 10:35 AM
rs1n

1 
693 
hello,
if i have a sequence of definite positive matrices that converges, is it always that the limit matrix is...

Apr1210 09:24 AM
damix

1 
1,172 
how does one convert a vector equation of a plane to a scalar equation. This is given the parametric equations of the...

Apr1210 09:00 AM
HallsofIvy

2 
2,795 
Hello.
Let´s suppose we are given two subspaces of \mathbb{R}^n that have dimension k, where 1\leq k<n. I think they...

Apr1210 01:41 AM
mnb96

2 
1,901 
Ok so I've been working on this problem and I'm really having some struggles grasping it. Here it is:
Let W be...

Apr1110 11:45 PM
Bacle

3 
1,031 
How to prove that if A is upper triangular and B is the matrix that results when the ith row and jth column of A are...

Apr1110 07:01 PM
Bacle

1 
755 