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

Feb2313 09:24 AM
micromass

1 
35,137 
is really the only way of checking which number is divisble by 7 is by modular arithematics?

Jan1606 12:13 PM
MathematicalPhysicist

12 
2,448 
i reackon youv'e seen it already, the problem is to rearrange the next numbers in the fixed order:
1 2 3 4
5 6 ...

Jan2906 12:09 AM
Robokapp

3 
2,390 
is there some theorem of some sort, that connect the number of divisors of a number to identify if it's even or odd?
...

Apr206 12:47 PM
Gokul43201

4 
2,820 
i'm refering to this:http://aleph0.clarku.edu/~djoyce/java/elements/bookIX/propIX36.html
does someone know if...

Apr406 01:15 PM
robert Ihnot

2 
2,050 
i chekced a few perfect numbers with module 6 and, a nice property is that all mod 6 equal 4 (at least for those i...

May706 06:04 AM
Muzza

9 
1,826 
i need to remember when does Ax=B has a unique solution, more than one, and no solution?
i think that it has a...

Jun1406 02:48 AM
doodle

1 
1,193 
i need to find how many automorphisms are there for the field Q(sqrt2).
i am given the hint to use the fact that a is...

Nov3006 12:10 PM
mathwonk

8 
2,039 
let V be a vector space and K a nonempty subset of V prove/disprove :
K is linear independent set iff for every T...

Feb507 07:01 AM
HallsofIvy

11 
2,799 
i need to prove diprove that there exist matrices A1,A2,...,As such that rank Ai=1 for every i=1,...,s and...

Feb507 08:20 AM
MathematicalPhysicist

2 
1,473 
1) there's given a transformation f:C^n>C^n (C is the complex field), it's known that f is linear on R (real numbers)...

Feb507 04:54 PM
matt grime

5 
1,833 
the question is as follows:
gcd(n,10)=1, i need to prove that there exists a k>=1 such that 10^k1 is divisible by n....

May407 01:36 PM
MathematicalPhysicist

15 
2,963 
i have this matrix:
011
001
000
and i need to find the matrix jordan basis, and jordan form.
for the jordan...

May407 03:45 AM
MathematicalPhysicist

10 
2,665 
im given a matrix H from M_n(C) (the space of nxn matrices above the comples field).
and we know that for every a in...

Jul1007 08:55 AM
matt grime

8 
1,623 
There's a question that asks me to show that there exists a unique linear transformation
from: f\otimes g: V_1\otimes...

Jul508 02:47 PM
mrandersdk

9 
1,426 
I know how the rotation matrix looks like in the 2x2 and 3x3 orders, but how does it look in general?
thanks in...

Aug108 02:56 AM
MathematicalPhysicist

9 
8,231 
What is the rule of division by 23?
Thanks in advance.

Jan2409 04:57 AM
MathematicalPhysicist

20 
3,366 
Can someone give me a hint how to show the recurrence relations for G_k(z)
,in wiki it's for the d_n's?
Other than...

Mar511 10:58 PM
MathematicalPhysicist

3 
1,879 
I want to show that if 1 were a congruent number then there would be an integer solution to the equation x^4y^4=u^2...

Mar2011 09:03 AM
dodo

3 
1,269 
I am asked to find all the modular forms with weight k which don't have zeros on the upper half plane.
I know that...

Mar2711 07:13 PM
Stephen Tashi

4 
2,060 
I forgot why the next statement is true and it's bugging me endlessly...
If p is prime such that p =1 mod 4 then...

Jul2311 06:36 AM
agentredlum

4 
2,553 
From taking breaks from preparing for a talk I have in geometry, I started toying a little bit with perfect numbers.
...

Sep112 03:31 PM
AntiCrackpot

10 
2,756 
I found that the cartan subalgebra of ##sp(4,\mathbb{R})## is the algebra with diagonal matrices in...

Sep1513 12:12 AM
MathematicalPhysicist

4 
958 
http://img3.imageshack.us/img3/8660/aassa.png
Who discover that?

May311 02:58 PM
coolul007

4 
1,660 
An Arithmetic Solution to the Goldbach Conjecture
Prove that any and every even integer >4 may be expressed as the...

Oct611 01:50 AM
Diffeomorphic

44 
1,346 
5x == 200 (mod 251)
11x == 192 (mod 401)
3x == 151 (mod 907)

Dec2604 06:41 AM
matt grime

1 
3,714 
I can't figure this out no matter how many times I try. Please can someone help me with this homework question?:
...

Nov2304 11:19 AM
socrates

3 
1,043 
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...

Oct1111 01:59 PM
Matt Benesi

10 
3,288 
Hello, I've been studying some linear algebra, and i am stuck on a certain definition.
The book i am using says that...

Dec511 04:46 PM
Mathguy15

4 
794 
I was recently thinking about these diophantine equations. I'm looking for solutions (x,y) in integers with d as an...

Dec611 05:51 AM
Petek

3 
2,187 
What exactly is gauss composition? I've heard of Manjul Bhargava's work, which apparently generalized gauss...

Dec1911 09:09 AM
Mathguy15

3 
4,668 
a and b are real numbers such that the sequence{c}n=1>{infinity} defined by c_n=a^nb^n contains only integers....

Jan2312 04:58 PM
Mathguy15

8 
2,602 
I was studying (yet another) number theory problem, described here:
Prove that the equation x^3+y^3+z^3+t^3=1999...

Feb1712 02:58 PM
AntiCrackpot

24 
3,606 
Hello,
I would like to see a solution to the following problem:
Let A be a finite collection of natural numbers....

Apr2712 11:23 AM
Mathguy15

5 
2,299 
Hello,
I wanted to know something regarding the quotient ring Z/pZ, where Z is the set of all polynomials with...

May412 01:05 PM
Mathguy15

6 
1,000 
Hello,
I was browsing a set of number theory problems, and I came across this one:
"Prove that the equation...

Jun2712 07:40 PM
Mathguy15

7 
1,693 
I need help proving the following:
1 A nonsquare matrix cannot have both a left and a right inverse
2 If a...

Nov407 01:18 PM
mathguy34

2 
9,556 
How can I find the spectral decomposition of a linear operator on R^n, with a given matrix.
Does anybody know a...

Dec1508 09:42 PM
MathIdiot

0 
1,029 
How do you write a matrix as a sum of a diagonalizable matrix and a nilpotent matrix?
It would be great if you...

Dec1708 07:47 AM
TheMonster

7 
2,354 
Hello everyone, I'm new to PF, so I hope this post is in the correct location.
Anyway, does anyone know why one...

May2211 11:28 AM
tinytim

2 
1,627 
Hi,
I was wondering why the latest theories about physics are about group theory and linear algebra. Maybe i don't...

Jun811 12:06 PM
mathkungfu

0 
447 